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jukebox (empty) → 0.1

raw patch · 33 files changed

+5156/−0 lines, 33 filesdep +arraydep +basedep +binarysetup-changed

Dependencies added: array, base, binary, bytestring, containers, directory, filepath, hashable, jukebox, minisat, mtl, pretty, process, unordered-containers

Files

+ Jukebox/Clausify.hs view
@@ -0,0 +1,446 @@+{-# LANGUAGE TypeOperators, BangPatterns #-}+module Jukebox.Clausify where++import Jukebox.Form+import qualified Jukebox.Form as Form+import Jukebox.Name+import Data.List( maximumBy, sortBy, partition )+import Data.Ord+import Control.Monad.Reader+import Control.Monad.State.Strict+import qualified Jukebox.Seq as S+import Jukebox.Seq(Seq)+import qualified Jukebox.NameMap as NameMap+import Jukebox.NameMap(NameMap)+import qualified Jukebox.Map as Map+import qualified Data.HashSet as Set+import qualified Data.ByteString.Char8 as BS+import Jukebox.Utils+import Jukebox.Options+import Control.Applicative++newtype ClausifyFlags = ClausifyFlags { splitting :: Bool } deriving Show++clausifyFlags =+  inGroup "Clausifier options" $+  ClausifyFlags <$>+    bool "split"+      ["Split the conjecture into several sub-conjectures.",+       "Default: (off)"]++----------------------------------------------------------------------+-- clausify++clausify :: ClausifyFlags -> Problem Form -> CNF+clausify flags inps = close inps (run . clausifyInputs S.Nil S.Nil)+ where+  clausifyInputs theory obligs [] =+    do return (toObligs (S.toList theory) (S.toList obligs))+  +  clausifyInputs theory obligs (inp:inps) | kind inp == Axiom =+    do cs <- clausForm (tag inp) (what inp)+       clausifyInputs (theory `S.append` cs) obligs inps++  clausifyInputs theory obligs (inp:inps) | kind inp `elem` [Conjecture, Question] =+    do clausifyObligs theory obligs (tag inp) (split' (what inp)) inps++  clausifyObligs theory obligs s [] inps =+    do clausifyInputs theory obligs inps+  +  clausifyObligs theory obligs s (a:as) inps =+    do cs <- clausForm s (nt a)+       clausifyObligs theory (obligs `S.append` S.Unit cs) s as inps++  split' a | splitting flags = if null split_a then [true] else split_a+    where split_a = split a+  split' a                   = [a]++split :: Form -> [Form]+split p =+  case positive p of+    ForAll (Bind xs p) ->+      [ ForAll (Bind xs p') | p' <- split p ]+    +    And ps ->+      concatMap split (S.toList ps)+    +    p `Equiv` q ->+      split (nt p \/ q) ++ split (p \/ nt q)++    Or ps ->+      snd $+      maximumBy first+      [ (siz q, [ Or (S.fromList (q':qs)) | q' <- sq ])+      | (q,qs) <- select (S.toList ps)+      , let sq = split q+      ]++    _ ->+      [p]+ where+  select []     = []+  select (x:xs) = (x,xs) : [ (y,x:ys) | (y,ys) <- select xs ]+  +  first (n,x) (m,y) = n `compare` m+  +  siz (And ps)            = S.length ps+  siz (ForAll (Bind _ p)) = siz p+  siz (_ `Equiv` _)       = 2+  siz _                   = 0++{-  +    Or ps | S.size ps > 0 && n > 0 ->+      [ Or (S.fromList (p':ps')) | p' <- split p ]+     where+      pns = [(p,siz p) | p <- S.toList ps]+      ((p,n),pns') = getMax (head pns) [] (tail pns)+      ps' = [ p' | (p',_) <- pns' ]+    +  getMax pn@(p,n) pns [] = (pn,pns)+  getMax pn@(p,n) pns (qm@(q,m):qms)+    | m > n     = getMax qm (pn:pns) qms+    | otherwise = getMax pn (qm:pns) qms+-}++----------------------------------------------------------------------+-- core clausification algorithm++clausForm :: BS.ByteString -> Form -> M [Input Clause]+clausForm s p =+  withName s $+    do miniscoped      <- miniscope . check . simplify                      . check $ p+       noEquivPs       <- removeEquiv                                       . check $ miniscoped+       noExistsPs      <- mapM removeExists                                 . check $ noEquivPs+       noExpensiveOrPs <- fmap concat . mapM removeExpensiveOr              . check $ noExistsPs+       noForAllPs      <- lift . lift . mapM uniqueNames                    . check $ noExpensiveOrPs+       let !cnf_        = S.concatMap cnf                                   . check $ noForAllPs+           !simp        = simplifyCNF . fmap S.toList                       . check $ cnf_+           cs           = S.toList . fmap clause                                    $ simp+           inps         = [ Input (BS.append s (BS.pack i)) Axiom c+                          | (c, i) <- zip cs ("":+                                        [ '_':show i | i <- [1..] ]) ]+       return $! force . check                                                      $ inps++----------------------------------------------------------------------+-- miniscoping+miniscope :: Form -> M Form+miniscope t@Literal{} = return t+miniscope (Not f) = fmap Not (miniscope f)+miniscope (And fs) = fmap And (S.mapM miniscope fs)+miniscope (Or fs) = fmap Or (S.mapM miniscope fs)+miniscope (Equiv f g) = liftM2 Equiv (miniscope f) (miniscope g)+miniscope (ForAll (Bind xs f)) = miniscope f >>= forAll xs+miniscope (Exists (Bind xs f)) = miniscope f >>= forAll xs . nt >>= return . nt++forAll :: NameMap Variable -> Form -> M Form+forAll xs a | Map.null xs = return a+forAll xs a =+  case positive a of+    And as ->+      fmap And (S.mapM (forAll xs) as)+    +    ForAll (Bind ys a)+      | Map.null m -> return (ForAll (Bind ys a))+      | otherwise -> fmap (forAll' ys) (forAll m a)+      where m = xs Map.\\ ys+            forAll' vs (ForAll (Bind vs' t)) = ForAll (Bind (vs `Map.union` vs') t)+            forAll' vs t = ForAll (Bind vs t)++    Or as -> forAllOr xs [ (a, free a) | a <- S.toList as ]++    _ -> return (ForAll (Bind xs a))++forAllOr :: NameMap Variable -> [(Form, NameMap Variable)] -> M Form+forAllOr xs avss = do { y <- yes; forAll xs' (y \/ no) }+  where+    v         = head (NameMap.toList xs)+    xs'       = NameMap.delete v xs+    (bs1,bs2) = partition ((v `NameMap.member`) . snd) avss+    no        = orl [ b | (b,_) <- bs2 ]+    body      = orl [ b | (b,_) <- bs1 ]+    yes       = case bs1 of+                  []      -> return (orl [])+                  [(b,_)] -> forAll (NameMap.singleton v) b+                  _       -> return (ForAll (Bind (NameMap.singleton v) body))+    orl       = foldr (\/) false++----------------------------------------------------------------------+-- removing equivalences++-- removeEquiv p -> ps :+--   POST: And ps is equivalent to p (modulo extra symbols)+--   POST: ps has no Equiv and no Not+removeEquiv :: Form -> M [Form]+removeEquiv p =+  do (defs,pos,_) <- removeEquivAux False p+     return (S.toList (defs `S.append` S.Unit pos))++-- removeEquivAux inEquiv p -> (defs,pos,neg) :+--   PRE: inEquiv is True when we are "under" an Equiv+--   POST: defs is a list of definitions, under which+--         pos is equivalent to p and neg is equivalent to nt p+-- (the reason why "neg" and "nt pos" can be different, is+-- because we want to always code an equivalence as+-- a conjunction of two disjunctions, which leads to fewer+-- clauses -- the "neg" part of the result for the case Equiv+-- below makes use of this)+removeEquivAux :: Bool -> Form -> M (Seq Form,Form,Form)+removeEquivAux inEquiv p =+  case simple p of+    Not p ->+      do (defs,pos,neg) <- removeEquivAux inEquiv p+         return (defs,neg,pos)+  +    And ps ->+      do dps <- sequence [ removeEquivAux inEquiv p | p <- S.toList ps ]+         let (defss,poss,negs) = unzip3 dps+         return ( S.concat defss+                , And (S.fromList poss)+                , Or  (S.fromList negs)+                )++    ForAll (Bind xs p) ->+      do (defs,pos,neg) <- removeEquivAux inEquiv p+         return ( defs+                , ForAll (Bind xs pos)+                , Exists (Bind xs neg)+                )++    p `Equiv` q ->+      do (defsp,posp,negp)    <- removeEquivAux True p+         (defsq,posq,negq)    <- removeEquivAux True q+         (defsp',posp',negp') <- makeCopyable inEquiv posp negp+         (defsq',posq',negq') <- makeCopyable inEquiv posq negq+         return ( S.concat [defsp, defsq, defsp', defsq']+                , (negp' \/ posq') /\ (posp' \/ negq')+                , (negp' \/ negq') /\ (posp' \/ posq')+                )++    Literal l ->+      do return (S.Nil,Literal l,Literal (neg l))++-- makeCopyable turns an argument to an Equiv into something that we are+-- willing to copy. There are two such cases: (1) when the Equiv is+-- not under another Equiv (because we have to copy arguments to an Equiv+-- at least once anyway), (2) if the formula is small.+-- All other formulas will be made small (by means of a definition)+-- before we copy them.+makeCopyable :: Bool -> Form -> Form -> M (Seq Form,Form,Form)+makeCopyable inEquiv pos neg+  | isSmall pos || not inEquiv =+    -- we skolemize here so that we reuse the skolem function+    -- (if we do this after copying, we get several skolemfunctions)+    do pos' <- removeExists pos+       neg' <- removeExists neg+       return (S.Nil,pos',neg')++  | otherwise =+    do dp <- literal "equiv" (free pos)+       return (S.fromList [Literal (Neg dp) \/ pos, Literal (Pos dp) \/ neg], Literal (Pos dp), Literal (Neg dp))+ where+  -- a formula is small if it is already a literal+  isSmall (Literal _)         = True+  isSmall (Not p)             = isSmall p+  isSmall (ForAll (Bind _ p)) = isSmall p+  isSmall (Exists (Bind _ p)) = isSmall p+  isSmall _                   = False++----------------------------------------------------------------------+-- skolemization++-- removeExists p -> p'+--   PRE: p has no Equiv and no Not+--   POST: p' is equivalent to p (modulo extra symbols)+--   POST: p' has no Equiv, no Exists, and no Not+removeExists :: Form -> M Form+removeExists (And ps) =+  do ps <- sequence [ removeExists p | p <- S.toList ps ]+     return (And (S.fromList ps))++removeExists (Or ps) =+  do ps <- sequence [ removeExists p | p <- S.toList ps ]+     return (Or (S.fromList ps))+    +removeExists (ForAll (Bind xs p)) =+  do p' <- removeExists p+     return (ForAll (Bind xs p'))+    +removeExists t@(Exists (Bind xs p)) =+  -- skolemterms have only variables as arguments, arities are large(r)+  do ss <- sequence [ fmap (x |=>) (skolem x (free t)) | x <- NameMap.toList xs ]+     removeExists (subst (foldr (|+|) ids ss) p)+  {-+  -- skolemterms can have other skolemterms as arguments, arities are small(er)+  -- disadvantage: skolemterms are very complicated and deep+  do p' <- skolemize p+     t <- skolem x (S.delete x (free p'))+     return (subst (x |=> t) p')+  -}++removeExists lit =+  do return lit++-- TODO: Avoid recomputing "free" at every step, by having+-- skolemize return the set of free variables as well++-- TODO: Investigate skolemizing top-down instead, find the right+-- optimization++----------------------------------------------------------------------+-- make cheap Ors++removeExpensiveOr :: Form -> M [Form]+removeExpensiveOr p =+  do (defs,p',_) <- removeExpensiveOrAux p+     return (S.toList (defs `S.append` S.Unit p'))++-- cost: represents how it expensive it is to clausify a formula+type Cost = (Integer,Integer) -- (#clauses, #literals)++unitCost :: Cost+unitCost = (1,1)++andCost :: [Cost] -> Cost+andCost cs = (sum (map fst cs), sum (map snd cs))++orCost :: [Cost] -> Cost+orCost []           = (1,0)+orCost [c]          = c+orCost ((c1,l1):cs) = (c1 * c2, c1 * l2 + c2 * l1)+ where+  (c2,l2) = orCost cs+  +removeExpensiveOrAux :: Form -> M (Seq Form,Form,Cost)+removeExpensiveOrAux (And ps) =+  do dcs <- sequence [ removeExpensiveOrAux p | p <- S.toList ps ]+     let (defss,ps,costs) = unzip3 dcs+     return (S.concat defss, And (S.fromList ps), andCost costs)++removeExpensiveOrAux (Or ps) =+  do dcs <- sequence [ removeExpensiveOrAux p | p <- S.toList ps ]+     let (defss,ps,costs) = unzip3 dcs+     (defs2,p,c) <- makeOr (sortBy (comparing snd) (zip ps costs))+     return (S.concat defss `S.append` defs2,p,c)++removeExpensiveOrAux (ForAll (Bind xs p)) =+  do (defs,p',cost) <- removeExpensiveOrAux p+     return (fmap (ForAll . Bind xs) defs, ForAll (Bind xs p'), cost)++removeExpensiveOrAux lit =+  do return (S.Nil, lit, unitCost)++-- input is sorted; small costs first+makeOr :: [(Form,Cost)] -> M (Seq Form,Form,Cost)+makeOr [] =+  do return (S.Nil, false, orCost [])++makeOr [(f,c)] =+  do return (S.Nil,f,c)++makeOr fcs+  | null fcs2 =+    do return (S.Nil, Or (S.fromList (map fst fcs1)), orCost (map snd fcs1))++  | otherwise =+    do d <- literal "or" (free (map fst fcs2))+       (defs,p,_) <- makeOr ((Literal (Neg d),unitCost):fcs2)+       return ( defs `S.snoc` p+              , Or (S.fromList (Literal (Pos d) : map fst fcs1))+              , orCost (unitCost : map snd fcs1)+              )+ where+  (fcs1,fcs2) = split [] fcs+  +  split fcs1 []                            = (fcs1,[])+  split fcs1 (fc@(_,(cc,_)):fcs) | cc <= 1 = split (fc:fcs1) fcs+  split fcs1 fcs@((_,(cc,_)):_)  | cc <= 2 = (take 2 fcs ++ fcs1, drop 2 fcs)+  split fcs1 fcs                           = (take 1 fcs ++ fcs1, drop 1 fcs)++----------------------------------------------------------------------+-- clausification++-- cnf p = cs+--   PRE: p has no Equiv, no Exists, and no Not,+--        and each variable is only bound once+--   POST: And (map Or cs) is equivalent to p+cnf :: Form -> Seq (Seq Literal)+cnf (ForAll (Bind _ p)) = cnf p+cnf (And ps)            = S.concatMap cnf ps+cnf (Or ps)             = cross (fmap cnf ps)+cnf (Literal x)         = S.Unit (S.Unit x)++cross :: Seq (Seq (Seq Literal)) -> Seq (Seq Literal)+cross S.Nil = S.Unit S.Nil+cross (S.Unit x) = x+cross (S.Append cs1 cs2) = liftM2 S.append (cross cs1) (cross cs2)++----------------------------------------------------------------------+-- simplification of CNF++simplifyCNF :: Seq [Literal] -> [[Literal]]+simplifyCNF =+  -- nub: don't generate multiple copies of identical clauses+  nub . S.concatMap (tautElim . unify [])+  where -- remove negative variable equalities X != Y by substitution+        unify xs [] = xs+        unify xs (Neg (Var v :=: t@Var{}):ys) =+          unify (subst (v |=> t) xs) (subst (v |=> t) ys)+        unify xs (l:ys) = unify (l:xs) ys+        -- simplify p | ~p or t = t to true.+        tautElim ls+          | Set.null (pos `Set.intersection` neg) && not (any tauto ls)+            -- reorder the order of the literals in the clause+            -- so that more clauses become equal;+            -- also, remove duplicate literals from the clause+            = S.Unit (map Neg (Set.toList neg) ++ map Pos (Set.toList pos))+          | otherwise = S.Nil+          where pos = Set.fromList [ l | Pos l <- ls ]+                neg = Set.fromList [ l | Neg l <- ls ]+                tauto (Pos (t :=: u)) = t == u+                tauto _ = False++----------------------------------------------------------------------+-- monad++type M = ReaderT Tag (StateT Int NameM)++run :: M a -> NameM a+run x = evalStateT (runReaderT x BS.empty) 0++skolemName :: Named a => String -> a -> M Name+skolemName prefix v = do+  i <- get+  put (i+1)+  s <- getName+  lift . lift . newName $ prefix ++ show i ++ concat [ "_" ++ t | t <- map BS.unpack [s, baseName v], not (null t) ]++nextSk :: M Int+nextSk = do+  i <- get+  put (i+1)+  return i++withName :: Tag -> M a -> M a+withName s m = lift (runReaderT m s)++getName :: M Tag+getName = ask++skolem :: Variable -> NameMap Variable -> M Term+skolem (v ::: t) vs =+  do n <- skolemName "sK" v+     let f = n ::: FunType (map typ args) t+     return (f :@: map Var args)+ where+  args = NameMap.toList vs++literal :: String -> NameMap Variable -> M Atomic+literal w vs =+  do n <- skolemName "sP" w+     let p = n ::: FunType (map typ args) O+     return (Tru (p :@: map Var args))+ where+  args = NameMap.toList vs++----------------------------------------------------------------------+-- the end.
+ Jukebox/Form.hs view
@@ -0,0 +1,716 @@+-- Formulae, inputs, terms and so on.+--+-- "Show" instances for several of these types are found in TPTP.Print.++{-# LANGUAGE DeriveDataTypeable, FlexibleContexts, Rank2Types, GADTs, TypeOperators, ScopedTypeVariables, BangPatterns, PatternGuards #-}+module Jukebox.Form where++import Prelude hiding (sequence, mapM)+import qualified Jukebox.Seq as S+import Jukebox.Seq(Seq)+import Data.Hashable+import qualified Jukebox.Map as Map+import Jukebox.NameMap(NameMap)+import qualified Jukebox.NameMap as NameMap+import Data.Ord+import qualified Data.ByteString.Char8 as BS+import Jukebox.Name+import Control.Monad.State.Strict hiding (sequence, mapM)+import Data.List hiding (nub)+import Jukebox.Utils+import Data.Typeable(Typeable)+import Data.Monoid+import Data.Traversable++-- Set to True to switch on some sanity checks+debugging :: Bool+debugging = False++----------------------------------------------------------------------+-- Types++data DomainSize = Finite Int | Infinite deriving (Eq, Ord, Show, Typeable)++data Type =+    O+  | Type {+      tname :: {-# UNPACK #-} !Name,+      -- type is monotone when domain size is >= tmonotone+      tmonotone :: DomainSize,+      -- if there is a model of size >= tsize then there is a model of size tsize+      tsize :: DomainSize } deriving Typeable++data FunType = FunType { args :: [Type], res :: Type } deriving (Eq, Typeable)++-- Helper function for defining (Eq, Ord, Hashable) instances+typeMaybeName :: Type -> Maybe Name+typeMaybeName O = Nothing+typeMaybeName Type{tname = t} = Just t++instance Eq Type where+  t1 == t2 = typeMaybeName t1 == typeMaybeName t2++instance Ord Type where+  compare = comparing typeMaybeName++instance Hashable Type where+  hashWithSalt s = hashWithSalt s . typeMaybeName++instance Named Type where+  name O = nameO+  name Type{tname = t} = t++-- Typeclass of "things that have a type"+class Typed a where+  typ :: a -> Type++instance Typed Type where+  typ = id++instance Typed FunType where+  typ = res++instance Typed b => Typed (a ::: b) where+  typ (_ ::: t) = typ t++----------------------------------------------------------------------+-- Terms++type Variable = Name ::: Type+type Function = Name ::: FunType+data Term = Var Variable | Function :@: [Term] deriving (Eq, Ord)++instance Hashable Term where+  hashWithSalt s = hashWithSalt s . convert+    where convert (Var x) = Left x+          convert (f :@: ts) = Right (f, ts)++instance Named Term where+  name (Var x) = name x+  name (f :@: _) = name f++instance Typed Term where+  typ (Var x) = typ x+  typ (f :@: _) = typ f++newSymbol :: Named a => a -> b -> NameM (Name ::: b)+newSymbol x ty = fmap (::: ty) (newName x)++newFunction :: Named a => a -> [Type] -> Type -> NameM Function+newFunction x args res = newSymbol x (FunType args res)++newType :: Named a => a -> NameM Type+newType x = do+  n <- newName x+  return (Type n Infinite Infinite)++funArgs :: Function -> [Type]+funArgs (_ ::: ty) = args ty++arity :: Function -> Int+arity = length . funArgs++size :: Term -> Int+size Var{} = 1+size (f :@: xs) = 1 + sum (map size xs)++----------------------------------------------------------------------+-- Literals++infix 8 :=:+data Atomic = Term :=: Term | Tru Term++-- Helper for (Eq Atomic, Ord Atomic, Hashable Atomic) instances+normAtomic :: Atomic -> Either (Term, Term) Term+normAtomic (t1 :=: t2) | t1 > t2 = Left (t2, t1)+                       | otherwise = Left (t1, t2)+normAtomic (Tru p) = Right p++instance Eq Atomic where+  t1 == t2 = normAtomic t1 == normAtomic t2++instance Ord Atomic where+  compare = comparing normAtomic++instance Hashable Atomic where+  hashWithSalt s = hashWithSalt s . normAtomic++data Signed a = Pos a | Neg a deriving (Show, Eq, Ord)++instance Hashable a => Hashable (Signed a) where+  hashWithSalt s = hashWithSalt s . convert+    where convert (Pos x) = Left x+          convert (Neg x) = Right x++instance Functor Signed where+  fmap f (Pos x) = Pos (f x)+  fmap f (Neg x) = Neg (f x)+type Literal = Signed Atomic++neg :: Signed a -> Signed a+neg (Pos x) = Neg x+neg (Neg x) = Pos x++the :: Signed a -> a+the (Pos x) = x+the (Neg x) = x++pos :: Signed a -> Bool+pos (Pos _) = True+pos (Neg _) = False++signForm :: Signed a -> Form -> Form+signForm (Pos _) f = f+signForm (Neg _) f = Not f++----------------------------------------------------------------------+-- Formulae++-- Invariant: each name is bound only once on each path+-- i.e. nested quantification of the same variable twice is not allowed+-- Not OK: ![X]: (... ![X]: ...)+-- OK:     (![X]: ...) & (![X]: ...)+-- Free variables must also not be bound inside subformulae+data Form+  = Literal Literal+  | Not Form+  | And (Seq Form)+  | Or (Seq Form)+  | Equiv Form Form+  | ForAll {-# UNPACK #-} !(Bind Form)+  | Exists {-# UNPACK #-} !(Bind Form)+    -- Just exists so that parsing followed by pretty-printing is+    -- somewhat lossless; the simplify function will get rid of it+  | Connective Connective Form Form++-- Miscellaneous connectives that exist in TPTP+data Connective = Implies | Follows | Xor | Nor | Nand++connective :: Connective -> Form -> Form -> Form+connective Implies t u = nt t \/ u+connective Follows t u = t \/ nt u+connective Xor t u = nt (t `Equiv` u)+connective Nor t u = nt (t \/ u)+connective Nand t u = nt (t /\ u)++data Bind a = Bind (NameMap Variable) a++true, false :: Form+true = And S.Nil+false = Or S.Nil++isTrue, isFalse :: Form -> Bool+isTrue (And S.Nil) = True+isTrue _ = False+isFalse (Or S.Nil) = True+isFalse _ = False++nt :: Form -> Form+nt (Not a) = a+nt a       = Not a++(.=>.) :: Form -> Form -> Form+(.=>.) = connective Implies++(.=.) :: Term -> Term -> Form+t .=. u | typ t == O = Literal (Pos (Tru t)) `Equiv` Literal (Pos (Tru u))+        | otherwise = Literal (Pos (t :=: u))++(/\), (\/) :: Form -> Form -> Form+And as /\ And bs = And (as `S.append` bs)+a      /\ b | isFalse a || isFalse b = false+And as /\ b      = And (b `S.cons` as)+a      /\ And bs = And (a `S.cons` bs)+a      /\ b      = And (S.Unit a `S.append` S.Unit b)++Or as \/ Or bs = Or (as `S.append` bs)+a     \/ b | isTrue a || isTrue b = true+Or as \/ b     = Or (b `S.cons` as)+a     \/ Or bs = Or (a `S.cons` bs)+a     \/ b     = Or (S.Unit a `S.append` S.Unit b)++closeForm :: Form -> Form+closeForm f | Map.null vars = f+            | otherwise = ForAll (Bind vars f)+  where vars = free f++conj, disj :: S.List f => f Form -> Form+conj = And . S.fromList+disj = Or . S.fromList++-- remove Not from the root of a problem+positive :: Form -> Form+positive (Not f) = notInwards f+-- Some connectives are fairly not-ish+positive (Connective c t u)         = positive (connective c t u)+positive f = f++notInwards :: Form -> Form+notInwards (And as)             = Or (fmap notInwards as)+notInwards (Or as)              = And (fmap notInwards as)+notInwards (a `Equiv` b)        = notInwards a `Equiv` b+notInwards (Not a)              = positive a+notInwards (ForAll (Bind vs a)) = Exists (Bind vs (notInwards a))+notInwards (Exists (Bind vs a)) = ForAll (Bind vs (notInwards a))+notInwards (Literal l)          = Literal (neg l)+notInwards (Connective c t u)   = notInwards (connective c t u)++-- remove Exists and Or from the top level of a formula+simple :: Form -> Form+simple (Or as)              = Not (And (fmap nt as))+simple (Exists (Bind vs a)) = Not (ForAll (Bind vs (nt a)))+simple (Connective c t u)   = simple (connective c t u)+simple a                    = a++-- perform some easy algebraic simplifications+simplify t@Literal{} = t+simplify (Connective c t u) = simplify (connective c t u)+simplify (Not t) = simplify (notInwards t)+simplify (And ts) = S.fold (/\) id true (fmap simplify ts)+simplify (Or ts) = S.fold (\/) id false (fmap simplify ts)+simplify (Equiv t u) = equiv (simplify t) (simplify u)+  where equiv t u | isTrue t = u+                  | isTrue u = t+                  | isFalse t = nt u+                  | isFalse u = nt t+                  | otherwise = Equiv t u+simplify (ForAll (Bind vs t)) = forAll vs (simplify t)+  where forAll vs t | Map.null vs = t+        forAll vs (ForAll (Bind vs' t)) = ForAll (Bind (Map.union vs vs') t)+        forAll vs t = ForAll (Bind vs t)+simplify (Exists (Bind vs t)) = exists vs (simplify t)+  where exists vs t | Map.null vs = t+        exists vs (Exists (Bind vs' t)) = Exists (Bind (Map.union vs vs') t)+        exists vs t = Exists (Bind vs t)++----------------------------------------------------------------------+-- Clauses++type CNF = Closed Obligs++data Obligs = Obligs {+  axioms :: [Input Clause],+  conjectures :: [[Input Clause]],+  satisfiable :: String,+  unsatisfiable :: String+  }++toObligs :: [Input Clause] -> [[Input Clause]] -> Obligs+toObligs axioms [] = Obligs axioms [[]] "Satisfiable" "Unsatisfiable"+toObligs axioms [conjecture] = Obligs axioms [conjecture] "CounterSatisfiable" "Theorem"+toObligs axioms conjectures = Obligs axioms conjectures "GaveUp" "Theorem"++newtype Clause = Clause (Bind [Literal])++clause :: S.List f => f (Signed Atomic) -> Clause+clause xs = Clause (bind (S.toList xs))++toForm :: Clause -> Form+toForm (Clause (Bind vs ls)) = ForAll (Bind vs (Or (S.fromList (map Literal ls))))++toLiterals :: Clause -> [Literal]+toLiterals (Clause (Bind _ ls)) = ls++----------------------------------------------------------------------+-- Problems++type Tag = BS.ByteString++data Kind = Axiom | Conjecture | Question deriving (Eq, Ord)++data Answer = Satisfiable | Unsatisfiable | NoAnswer NoAnswerReason+  deriving (Eq, Ord)++instance Show Answer where+  show Satisfiable = "Satisfiable"+  show Unsatisfiable = "Unsatisfiable"+  show (NoAnswer x) = show x++data NoAnswerReason = GaveUp | Timeout deriving (Eq, Ord, Show)++data Input a = Input+  { tag ::  Tag,+    kind :: Kind,+    what :: a }++type Problem a = Closed [Input a]++instance Functor Input where+  fmap f x = x { what = f (what x) }++----------------------------------------------------------------------+-- Symbolic stuff++-- A universe of types with typecase+data TypeOf a where+  Form :: TypeOf Form+  Clause_ :: TypeOf Clause+  Term :: TypeOf Term+  Atomic :: TypeOf Atomic+  Signed :: (Symbolic a, Symbolic (Signed a)) => TypeOf (Signed a)+  Bind_ :: (Symbolic a, Symbolic (Bind a)) => TypeOf (Bind a)+  List :: (Symbolic a, Symbolic [a]) => TypeOf [a]+  Seq :: (Symbolic a, Symbolic (Seq a)) => TypeOf (Seq a)+  Input_ :: (Symbolic a, Symbolic (Input a)) => TypeOf (Input a)+  Obligs_ :: TypeOf Obligs++class Symbolic a where+  typeOf :: a -> TypeOf a++instance Symbolic Form where typeOf _ = Form+instance Symbolic Clause where typeOf _ = Clause_+instance Symbolic Term where typeOf _ = Term+instance Symbolic Atomic where typeOf _ = Atomic+instance Symbolic a => Symbolic (Signed a) where typeOf _ = Signed+instance Symbolic a => Symbolic (Bind a) where typeOf _ = Bind_+instance Symbolic a => Symbolic [a] where typeOf _ = List+instance Symbolic a => Symbolic (Seq a) where typeOf _ = Seq+instance Symbolic a => Symbolic (Input a) where typeOf _ = Input_+instance Symbolic Obligs where typeOf _ = Obligs_++-- Generic representations of values.+data Rep a where+  Const :: !a -> Rep a+  Unary :: Symbolic a => (a -> b) -> a -> Rep b+  Binary :: (Symbolic a, Symbolic b) => (a -> b -> c) -> a -> b -> Rep c++-- This inline declaration is crucial so that+-- pattern-matching on a rep degenerates into typecase.+{-# INLINE rep #-}+rep :: Symbolic a => a -> Rep a+rep x =+  case typeOf x of+    Form -> rep' x+    Clause_ -> rep' x+    Term -> rep' x+    Atomic -> rep' x+    Signed -> rep' x+    Bind_ -> rep' x+    List -> rep' x+    Seq -> rep' x+    Input_ -> rep' x+    Obligs_ -> rep' x++-- Implementation of rep for all types+class Unpack a where+  rep' :: a -> Rep a++instance Unpack Form where+  rep' (Literal l) = Unary Literal l+  rep' (Not t) = Unary Not t+  rep' (And ts) = Unary And ts+  rep' (Or ts) = Unary Or ts+  rep' (Equiv t u) = Binary Equiv t u+  rep' (ForAll b) = Unary ForAll b+  rep' (Exists b) = Unary Exists b+  rep' (Connective c t u) = Binary (Connective c) t u++instance Unpack Clause where+  rep' (Clause ls) = Unary Clause ls++instance Unpack Term where+  rep' t@Var{} = Const t+  rep' (f :@: ts) = Unary (f :@:) ts++instance Unpack Atomic where+  rep' (t :=: u) = Binary (:=:) t u+  rep' (Tru p) = Unary Tru p++instance Symbolic a => Unpack (Signed a) where+  rep' (Pos x) = Unary Pos x+  rep' (Neg x) = Unary Neg x++instance Symbolic a => Unpack (Bind a) where+  rep' (Bind vs x) = Unary (Bind vs) x++instance Symbolic a => Unpack [a] where+  rep' [] = Const []+  rep' (x:xs) = Binary (:) x xs++instance Symbolic a => Unpack (Seq a) where+  rep' S.Nil = Const S.Nil+  rep' (S.Unit x) = Unary S.Unit x+  rep' (S.Append x y) = Binary S.Append x y++instance Symbolic a => Unpack (Input a) where+  rep' (Input tag kind what) = Unary (Input tag kind) what++instance Unpack Obligs where+  rep' (Obligs ax conj s1 s2) =+    Binary (\ax' conj' -> Obligs ax' conj' s1 s2) ax conj++-- Little generic strategies++{-# INLINE recursively #-}+recursively :: Symbolic a => (forall a. Symbolic a => a -> a) -> a -> a+recursively h t =+  case rep t of+    Const x -> x+    Unary f x -> f (h x)+    Binary f x y -> f (h x) (h y)++{-# INLINE recursivelyM #-}+recursivelyM :: (Monad m, Symbolic a) => (forall a. Symbolic a => a -> m a) -> a -> m a+recursivelyM h t =+  case rep t of+    Const x -> return x+    Unary f x -> liftM f (h x)+    Binary f x y -> liftM2 f (h x) (h y)++{-# INLINE collect #-}+collect :: (Symbolic a, Monoid b) => (forall a. Symbolic a => a -> b) -> a -> b+collect h t =+  case rep t of+    Const x -> mempty+    Unary f x -> h x+    Binary f x y -> h x `mappend` h y++----------------------------------------------------------------------+-- Substitutions++type Subst = NameMap (Name ::: Term)++ids :: Subst+ids = Map.empty++(|=>) :: Named a => a -> Term -> Subst+v |=> x = NameMap.singleton (name v ::: x)++(|+|) :: Subst -> Subst -> Subst+(|+|) = Map.union++subst :: Symbolic a => Subst -> a -> a+subst s t =+  case typeOf t of+    Term -> term t+    Bind_ -> bind t+    _ -> generic t+  where+    term (Var x)+      | Just u <- NameMap.lookup (name x) s = rhs u+    term t = generic t++    bind :: Symbolic a => Bind a -> Bind a+    bind (Bind vs t) =+      Bind vs (subst (checkBinder vs (s Map.\\ vs)) t)++    generic :: Symbolic a => a -> a+    generic t = recursively (subst s) t++----------------------------------------------------------------------+-- Functions operating on symbolic terms++free :: Symbolic a => a -> NameMap Variable+free t+  | Term <- typeOf t,+    Var x <- t        = var x+  | Bind_ <- typeOf t = bind t+  | otherwise         = collect free t+  where+    var :: Variable -> NameMap Variable+    var x = NameMap.singleton x++    bind :: Symbolic a => Bind a -> NameMap Variable+    bind (Bind vs t) = free t Map.\\ vs++ground :: Symbolic a => a -> Bool+ground = Map.null . free++bind :: Symbolic a => a -> Bind a+bind x = Bind (free x) x++-- Helper function for collecting information from terms and binders.+termsAndBinders :: forall a b.+                   Symbolic a =>+                   (Term -> Seq b) ->+                   (forall a. Symbolic a => Bind a -> Seq b) ->+                   a -> Seq b+termsAndBinders term bind = aux where+  aux :: Symbolic c => c -> Seq b+  aux t =+    collect aux t `S.append`+    case typeOf t of+      Term -> term t+      Bind_ -> bind t+      _ -> S.Nil++names :: Symbolic a => a -> [Name]+names = nub . termsAndBinders term bind where+  term t = return (name t) `mappend` return (name (typ t))++  bind :: Symbolic a => Bind a -> Seq Name+  bind (Bind vs _) = S.fromList (map name (NameMap.toList vs))++types :: Symbolic a => a -> [Type]+types = nub . termsAndBinders term bind where+  term t = return (typ t)++  bind :: Symbolic a => Bind a -> Seq Type+  bind (Bind vs _) = S.fromList (map typ (NameMap.toList vs))++types' :: Symbolic a => a -> [Type]+types' = filter (/= O) . types++terms :: Symbolic a => a -> [Term]+terms = nub . termsAndBinders term mempty where+  term t = return t++vars :: Symbolic a => a -> [Variable]+vars = nub . termsAndBinders term bind where+  term (Var x) = return x+  term _ = mempty++  bind :: Symbolic a => Bind a -> Seq Variable+  bind (Bind vs _) = S.fromList (NameMap.toList vs)++functions :: Symbolic a => a -> [Function]+functions = nub . termsAndBinders term mempty where+  term (f :@: _) = return f+  term _ = mempty++isFof :: Symbolic a => a -> Bool+isFof f = length (types' f) <= 1++uniqueNames :: Symbolic a => a -> NameM a+uniqueNames t = evalStateT (aux Map.empty t) (free t)+  where aux :: Symbolic a => Subst -> a -> StateT (NameMap Variable) NameM a+        aux s t =+          case typeOf t of+            Term -> term s t+            Bind_ -> bind s t+            _ -> generic s t++        term :: Subst -> Term -> StateT (NameMap Variable) NameM Term+        term s t@(Var x) = do+          case NameMap.lookup (name x) s of+            Nothing -> return t+            Just (_ ::: u) -> return u+        term s t = generic s t++        bind :: Symbolic a => Subst -> Bind a -> StateT (NameMap Variable) NameM (Bind a)+        bind s (Bind vs x) = do+          used <- get+          let (stale, fresh) = partition (`NameMap.member` used) (NameMap.toList vs)+          stale' <- sequence [ lift (newSymbol x t) | x ::: t <- stale ]+          put (used `Map.union` NameMap.fromList fresh `Map.union` NameMap.fromList stale')+          case stale of+            [] -> fmap (Bind vs) (aux s x)+            _ ->+              do+                let s' = NameMap.fromList [name x ::: Var y | (x, y) <- stale `zip` stale'] `Map.union` s+                    vs' = NameMap.fromList (stale' ++ fresh)+                fmap (Bind vs') (aux s' x)++        generic :: Symbolic a => Subst -> a -> StateT (NameMap Variable) NameM a+        generic s t = recursivelyM (aux s) t++-- Force a value.+force :: Symbolic a => a -> a+force x = rnf x `seq` x+  where rnf :: Symbolic a => a -> ()+        rnf x =+          case rep x of+            Const !_ -> ()+            Unary _ x -> rnf x+            Binary _ x y -> rnf x `seq` rnf y++-- Check that there aren't two nested binders binding the same variable+check :: Symbolic a => a -> a+check x | not debugging = x+        | check' (free x) x = x+        | otherwise = error "Form.check: invariant broken"+  where check' :: Symbolic a => NameMap Variable -> a -> Bool+        check' vars t =+          case typeOf t of+            Term -> term vars t+            Bind_ -> bind vars t+            _ -> generic vars t++        term :: NameMap Variable -> Term -> Bool+        term vars (Var x) = x `NameMap.member` vars+        term vars t = generic vars t++        bind :: Symbolic a => NameMap Variable -> Bind a -> Bool+        bind vars (Bind vs t) =+          Map.null (vs `Map.intersection` vars) &&+          check' (vs `Map.union` vars) t++        generic :: Symbolic a => NameMap Variable -> a -> Bool+        generic vars = getAll . collect (All . generic vars)++-- Check that a binder doesn't capture variables from a substitution.+checkBinder :: NameMap Variable -> Subst -> Subst+checkBinder vs s | not debugging = s+                 | Map.null (free [ t | _ ::: t <- NameMap.toList s ] `Map.intersection` vs) = s+                 | otherwise = error "Form.checkBinder: capturing substitution"++-- Reestablish sharing in a formula.+type ShareState = (NameMap Type, NameMap Variable, NameMap Function)++share :: Symbolic a => a -> a+share x = evalState (shareM x) initial+  where initial :: ShareState+        initial = (Map.empty, Map.empty, Map.empty)++        shareM :: Symbolic a => a -> State ShareState a+        shareM t =+          case typeOf t of+            Term -> term t+            Bind_ -> bind t+            _ -> recursivelyM shareM t++        bind :: Symbolic a => Bind a -> State ShareState (Bind a)+        bind (Bind vs x) =+          liftM2 Bind (mapM var vs) (shareM x)++        term :: Term -> State ShareState Term+        term (Var x) = fmap Var (var x)+        term (f :@: ts) = liftM2 (:@:) (fun f) (mapM term ts)++        fun :: Function -> State ShareState Function+        fun (f ::: FunType args res) = do+          args' <- mapM type_ args+          res' <- type_ res+          memo funAccessor (f ::: FunType args' res')++        var :: Variable -> State ShareState Variable+        var (x ::: ty) = fmap (x :::) (type_ ty) >>= memo varAccessor++        type_ :: Type -> State ShareState Type+        type_ = memo typeAccessor++        typeAccessor = (\(x, y, z) -> x, \x (_, y, z) -> (x, y, z))+        varAccessor = (\(x, y, z) -> y, \y (x, _, z) -> (x, y, z))+        funAccessor = (\(x, y, z) -> z, \z (x, y, _) -> (x, y, z))++        memo :: Named a =>+                (ShareState -> NameMap a,+                 NameMap a -> ShareState -> ShareState) ->+                a -> State ShareState a+        memo (get_, put_) x = do+          m <- gets get_+          case NameMap.lookup (name x) m of+            Nothing -> do+              modify (put_ (NameMap.insert x m))+              return x+            Just y ->+              return y++-- Apply a function to each type, while preserving sharing.+mapType :: Symbolic a => (Type -> Type) -> a -> a+mapType f = share . mapType'+  where mapType' :: Symbolic a => a -> a+        mapType' t =+          case typeOf t of+            Term -> term t+            Bind_ -> bind t+            _ -> recursively mapType' t++        bind :: Symbolic a => Bind a -> Bind a+        bind (Bind vs t) = Bind (fmap var vs) (mapType' t)++        term (f :@: ts) = fun f :@: map term ts+        term (Var x) = Var (var x)++        var (x ::: ty) = x ::: f ty+        fun (x ::: FunType args res) = x ::: FunType (map f args) (f res)
+ Jukebox/GuessModel.hs view
@@ -0,0 +1,121 @@+{-# LANGUAGE GADTs, PatternGuards #-}+module Jukebox.GuessModel where++import Control.Monad+import qualified Data.ByteString.Char8 as BS+import Jukebox.Name+import Jukebox.Form+import Jukebox.Clausify hiding (cnf)+import Jukebox.TPTP.Print+import Jukebox.TPTP.ParseSnippet+import Jukebox.Utils++data Universe = Peano | Trees++universe :: Universe -> Type -> NameM ([Function], [Form])+universe Peano = peano+universe Trees = trees++peano i = do+  zero <- newFunction "zero" [] i+  succ <- newFunction "succ" [i] i+  pred <- newFunction "pred" [i] i+  let types = [("$i", i)]+      funs = [("zero", zero),+              ("succ", succ),+              ("pred", pred)]+  +  prelude <- mapM (cnf types funs) [+    "zero != succ(X)",+    "pred(succ(X)) = X"+    ]+  return ([zero, succ], prelude)++trees i = do+  nil <- newFunction "nil" [] i+  bin <- newFunction "bin" [i, i] i+  left <- newFunction "left" [i] i+  right <- newFunction "right" [i] i+  let types = [("$i", i)]+      funs = [("nil", nil),+              ("bin", bin),+              ("left", left),+              ("right", right)]+  +  prelude <- mapM (cnf types funs) [+    "nil != bin(X,Y)",+    "left(bin(X,Y)) = X",+    "right(bin(X,Y)) = Y"+    ]+  return ([nil, bin], prelude)++guessModel :: [String] -> Universe -> Problem Form -> Problem Form+guessModel expansive univ prob = close prob $ \forms -> do+  let i = ind forms+  answerType <- newType "answer"+  answer <- newFunction "$answer" [answerType] O+  let withExpansive f func = f func (BS.unpack (base (name func)) `elem` expansive) answer+  (constructors, prelude) <- universe univ i+  program <- fmap concat (mapM (withExpansive (function constructors)) (functions forms))+  return (map (Input (BS.pack "adt") Axiom) prelude +++          map (Input (BS.pack "program") Axiom) program +++          forms)++ind :: Symbolic a => a -> Type+ind x =+  case types' x of+    [ty] -> ty+    [] -> Type nameI Infinite Infinite+    _ -> error "GuessModel: can't deal with many-typed problems"++function :: [Function] -> Function -> Bool -> Function -> NameM [Form]+function constructors f expansive answerP = fmap concat $ do+  argss <- cases constructors (funArgs f)+  forM argss $ \args -> do+    fname <- newFunction ("exhausted_" ++ BS.unpack (base (name f)) ++ "_case")+               [] (head (funArgs answerP))+    let answer = Literal (Pos (Tru (answerP :@: [fname :@: []])))+    let theRhss = rhss constructors args f expansive answer+    alts <- forM theRhss $ \rhs -> do+      pred <- newFunction (concat (lines (prettyFormula rhs))) [] O+      return (Literal (Pos (Tru (pred :@: []))))+    return $+      disj alts:+      [ closeForm (Connective Implies alt rhs)+      | (alt, rhs) <- zip alts theRhss ]++rhss :: [Function] -> [Term] -> Function -> Bool -> Form -> [Form]+rhss constructors args f expansive answer =+  case typ f of+    O ->+      Literal (Pos (Tru (f :@: args))):+      Literal (Neg (Tru (f :@: args))):+      map its (map (f :@:) (recursive args))+    _ | expansive -> map its (usort (unconditional ++ constructor))+      | otherwise -> map its (usort unconditional) ++ [answer]+  where recursive [] = []+        recursive (a:as) = reduce a ++ map (a:) (recursive as)+          where reduce (f :@: xs) = [ x:as' | x <- xs, as' <- as:recursive as ]+                reduce _ = []+        constructor = [ c :@: xs+                      | c <- constructors,+                        xs <- sequence (replicate (arity c) unconditional) ]+        +        subterm = terms args+        its t = f :@: args .=. t+        unconditional = map (f :@:) (recursive args) ++ subterm++cases :: [Function] -> [Type] -> NameM [[Term]]+cases constructors [] = return [[]]+cases constructors (ty:tys) = do+  ts <- cases1 constructors ty+  tss <- cases constructors tys+  return (liftM2 (:) ts tss)++cases1 :: [Function] -> Type -> NameM [Term]+cases1 constructors ty = do+  let maxArity = maximum (map arity constructors)+      varNames = take maxArity (cycle ["X", "Y", "Z"])+  vars <- mapM (flip newSymbol ty) varNames+  return [ c :@: take (arity c) (map Var vars)+         | c <- constructors ]
+ Jukebox/HighSat.hs view
@@ -0,0 +1,113 @@+{-# LANGUAGE BangPatterns, GeneralizedNewtypeDeriving #-}+module Jukebox.HighSat where++import MiniSat hiding (neg)+import qualified MiniSat+import qualified Jukebox.Seq as Seq+import Jukebox.Seq(Seq, List)+import Jukebox.Form(Signed(..), neg)+import qualified Jukebox.Map as Map+import Jukebox.Map(Map)+import Control.Monad.State.Strict+import Control.Monad.Reader+import Control.Monad.Trans+import Data.Hashable+import Data.Traversable hiding (mapM, sequence)+import Control.Applicative+import Data.Maybe+import Data.List(partition)++newtype Sat1 a b = Sat1 { runSat1_ :: ReaderT Solver (ReaderT (Watch a) (StateT (Map a Lit) IO)) b } deriving (Functor, Monad, MonadIO)+newtype Sat a b c = Sat { runSat_ :: ReaderT (Watch a) (StateT (Map b (SatState a)) IO) c } deriving (Functor, Monad, MonadIO)+data SatState a = SatState Solver (Map a Lit)+type Watch a = a -> Sat1 a ()++data Form a+  = Lit (Signed a)+  | And (Seq (Form a))+  | Or (Seq (Form a))++nt :: Form a -> Form a+nt (Lit x) = Lit (neg x)+nt (And xs) = Or (fmap nt xs)+nt (Or xs) = And (fmap nt xs)++conj, disj :: List f => f (Form a) -> Form a+conj = And . Seq.fromList+disj = Or . Seq.fromList++true, false :: Form a+true = And Seq.Nil+false = Or Seq.Nil++unique :: List f => f (Form a) -> Form a+unique = u . Seq.toList+  where u [x] = true+        u (x:xs) = conj [disj [nt x, conj (map nt xs)],+                         u xs]++runSat :: (Hashable b, Ord b) => Watch a -> [b] -> Sat a b c -> IO c+runSat w idxs x = go idxs Map.empty+  where go [] m = evalStateT (runReaderT (runSat_ x) w) m+        go (idx:idxs) m =+          withNewSolver $ \s -> go idxs (Map.insert idx (SatState s Map.empty) m)++runSat1 :: (Ord a, Hashable a) => Watch a -> Sat1 a b -> IO b+runSat1 w x = runSat w [()] (atIndex () x)++atIndex :: (Ord a, Hashable a, Ord b, Hashable b) => b -> Sat1 a c -> Sat a b c+atIndex !idx m = do+  watch <- Sat ask+  SatState s ls <- Sat (gets (Map.findWithDefault (error "withSolver: index not found") idx))+  (x, ls') <- liftIO (runStateT (runReaderT (runReaderT (runSat1_ m) s) watch) ls)+  Sat (modify (Map.insert idx (SatState s ls')))+  return x++solve :: (Ord a, Hashable a) => [Signed a] -> Sat1 a Bool+solve xs = do+  s <- Sat1 ask+  ls <- mapM lit xs+  liftIO (MiniSat.solve s ls)++model :: (Ord a, Hashable a) => Sat1 a (a -> Bool)+model = do+  s <- Sat1 ask+  m <- Sat1 (lift get)+  vals <- liftIO (traverse (MiniSat.modelValue s) m)+  return (\v -> fromMaybe False (Map.findWithDefault Nothing v vals))++modelValue :: (Ord a, Hashable a) => a -> Sat1 a Bool+modelValue x = do+  s <- Sat1 ask+  l <- var x+  Just b <- liftIO (MiniSat.modelValue s l)+  return b++addForm :: (Ord a, Hashable a) => Form a -> Sat1 a ()+addForm f = do+  s <- Sat1 ask+  cs <- flatten f+  liftIO (Seq.mapM (MiniSat.addClause s . Seq.toList) cs)+  return ()++flatten :: (Ord a, Hashable a) => Form a -> Sat1 a (Seq (Seq Lit))+flatten (Lit l) = fmap (Seq.Unit . Seq.Unit) (lit l)+flatten (And fs) = fmap Seq.concat (Seq.mapM flatten fs)+flatten (Or fs) = fmap (fmap Seq.concat . Seq.sequence) (Seq.mapM flatten fs)++lit :: (Ord a, Hashable a) => Signed a -> Sat1 a Lit+lit (Pos x) = var x+lit (Neg x) = liftM MiniSat.neg (var x)++var :: (Ord a, Hashable a) => a -> Sat1 a Lit+var x = do+  s <- Sat1 ask+  m <- Sat1 get+  case Map.lookup x m of+    Nothing -> do+      l <- liftIO (MiniSat.newLit s)+      Sat1 (put (Map.insert x l m))+      w <- Sat1 (lift ask)+      w x+      return l+    Just l -> return l
+ Jukebox/InferTypes.hs view
@@ -0,0 +1,82 @@+{-# LANGUAGE TypeOperators, GADTs #-}+module Jukebox.InferTypes where++import Control.Monad+import Jukebox.Form+import Jukebox.Name+import qualified Jukebox.NameMap as NameMap+import Jukebox.NameMap(NameMap)+import Jukebox.UnionFind hiding (rep)++type Function' = Name ::: ([Type'], Type')+type Variable' = Name ::: Type'+type Type' = Name ::: Type++inferTypes :: [Input Clause] -> NameM ([Input Clause], Type -> Type)+inferTypes prob = do+  funMap <-+    fmap NameMap.fromList . sequence $+      [ do res <- newName (typ f)+           args <- mapM newName (funArgs f)+           return (name f :::+                   (zipWith (:::) args (funArgs f),+                    res ::: typ f))+      | f <- functions prob ]+  varMap <-+    fmap NameMap.fromList . sequence $+      [ do ty <- newName (typ v)+           return (name v ::: (ty ::: typ v))+      | v <- vars prob ]+  +  let tyMap = NameMap.fromList $+              concat [ res:args | _ ::: (args, res) <- NameMap.toList funMap ] +++              [ ty | _ ::: ty <- NameMap.toList varMap ]+  +  let (prob', rep) = solve funMap varMap prob+      rep' ty = rhs (NameMap.lookup_ (rep (name ty)) tyMap)+  +  return (prob', rep')++solve :: NameMap Function' -> NameMap Variable' ->+         [Input Clause] -> ([Input Clause], Name -> Name)+solve funMap varMap prob = (prob', rep)+  where prob' = share (aux prob)+        aux :: Symbolic a => a -> a+        aux t =+          case typeOf t of+            Bind_ -> bind t+            Term -> term t+            _ -> recursively aux t++        bind :: Symbolic a => Bind a -> Bind a+        bind (Bind vs t) = Bind (fmap var vs) (aux t)++        term (f :@: ts) = fun f :@: map term ts+        term (Var x) = Var (var x)++        fun (f ::: _) =+          let (args, res) = rhs (NameMap.lookup_ f funMap)+          in f ::: FunType (map type_ args) (type_ res)++        var (x ::: _) = x ::: type_ (rhs (NameMap.lookup_ x varMap))++        type_ (name ::: _) +          | name == nameO = O+          | otherwise = Type (rep name) Infinite Infinite++        rep = evalUF initial $ do+          generate funMap varMap prob+          reps++generate :: NameMap Function' -> NameMap Variable' -> [Input Clause] -> UF Name ()+generate funMap varMap cs = mapM_ (mapM_ atomic) lss+  where lss = map (map the . toLiterals . what) cs+        atomic (Tru p) = void (term p)+        atomic (t :=: u) = do { t' <- term t; u' <- term u; t' =:= u'; return () }+        term (Var x) = return y+          where _ ::: (y ::: _) = NameMap.lookup_ x varMap+        term (f :@: xs) = do+          ys <- mapM term xs+          let _ ::: (zs, r) = NameMap.lookup_ f funMap+          zipWithM_ (=:=) ys (map lhs zs)+          return (lhs r)
+ Jukebox/Map.hs view
@@ -0,0 +1,28 @@+{-# LANGUAGE NoMonomorphismRestriction #-}+module Jukebox.Map where++import qualified Data.HashMap.Lazy as H++type Map a b = H.HashMap a b++fromList = H.fromList+toList = H.toList+insertWith = H.insertWith+empty = H.empty+findWithDefault = H.lookupDefault+lookup = H.lookup+insert = H.insert+delete = H.delete+elems = H.elems+union = H.union+intersection = H.intersection+null = H.null+m ! x = H.lookupDefault (error "Map.!: key not found") x m++member x m =+  case H.lookup x m of+    Nothing -> False+    Just{} -> True++m1 \\ m2 =+  H.foldrWithKey (\k v m -> H.delete k m) m1 m2
+ Jukebox/Monotonox/Monotonicity.hs view
@@ -0,0 +1,82 @@+{-# LANGUAGE TypeOperators #-}+module Jukebox.Monotonox.Monotonicity where++import Prelude hiding (lookup)+import Jukebox.Name+import Jukebox.Form hiding (Form, clause, true, false, conj, disj)+import Jukebox.HighSat+import Jukebox.NameMap as NameMap+import Jukebox.Utils+import Data.Hashable+import Control.Monad++data Extension = TrueExtend | FalseExtend | CopyExtend deriving Show++data Var = FalseExtended Function | TrueExtended Function deriving (Eq, Ord)++instance Hashable Var where+  hashWithSalt s = hashWithSalt s . convert+    where convert (FalseExtended x) = Left x+          convert (TrueExtended x) = Right x++annotateMonotonicity :: Problem Clause -> IO (Problem Clause)+annotateMonotonicity prob = do+  m <- monotone (map what (open prob))+  let f O = O+      f ty =+        case lookup (name ty) m of+          Nothing -> ty+          Just{} -> ty { tmonotone = Finite 0 }+  return (fmap (mapType f) prob)++monotone :: [Clause] -> IO (NameMap (Type ::: Maybe (NameMap (Function ::: Extension))))+monotone cs = runSat watch tys $ do+  let fs = functions cs+  mapM_ (clause . toLiterals) cs+  fmap NameMap.fromList . forM tys $ \ty -> atIndex ty $ do+    r <- solve []+    case r of+      False -> return (ty ::: Nothing)+      True -> do+        m <- model+        return (ty ::: Just (fromModel fs ty m))+  where watch (FalseExtended f) =+          addForm (disj [Lit (Neg (FalseExtended f)),+                         Lit (Neg (TrueExtended f))])+        watch _ = return ()+        tys = types' cs++fromModel :: [Function] -> Type -> (Var -> Bool) -> NameMap (Function ::: Extension)+fromModel fs ty m = NameMap.fromList [ f ::: extension f m | f <- fs, typ f == O, ty `elem` args (rhs f) ]++extension :: Function -> (Var -> Bool) -> Extension+extension f m =+  case (m (FalseExtended f), m (TrueExtended f)) of+    (False, False) -> CopyExtend+    (True, False) -> FalseExtend+    (False, True) -> TrueExtend++clause :: [Literal] -> Sat Var Type ()+clause ls = mapM_ (literal ls) ls++literal :: [Literal] -> Literal -> Sat Var Type ()+literal ls (Pos (t :=: u)) = atIndex (typ t) $ do+  addForm (safe ls t)+  addForm (safe ls u)+literal ls (Neg (_ :=: _)) = return ()+literal ls (Pos (Tru (p :@: ts))) =+  forM_ ts $ \t -> atIndex (typ t) $ addForm (disj [safe ls t, Lit (Neg (FalseExtended p))])+literal ls (Neg (Tru (p :@: ts))) =+  forM_ ts $ \t -> atIndex (typ t) $ addForm (disj [safe ls t, Lit (Neg (TrueExtended p))])++safe :: [Literal] -> Term -> Form Var+safe ls (Var x) = disj [ guards l x | l <- ls ]+safe _ _ = true++guards :: Literal -> Variable -> Form Var+guards (Neg (Var _ :=: Var _)) _ = error "Monotonicity.guards: found a variable inequality X!=Y after clausification"+guards (Neg (Var x :=: _)) y | x == y = true+guards (Neg (_ :=: Var x)) y | x == y = true+guards (Pos (Tru (p :@: ts))) x | Var x `elem` ts = Lit (Pos (TrueExtended p))+guards (Neg (Tru (p :@: ts))) x | Var x `elem` ts = Lit (Pos (FalseExtended p))+guards _ _ = false
+ Jukebox/Monotonox/ToFOF.hs view
@@ -0,0 +1,191 @@+{-# LANGUAGE GADTs, PatternGuards #-}+module Jukebox.Monotonox.ToFOF where++import Jukebox.Clausify(split, removeEquiv, run, withName)+import Jukebox.Name+import qualified Jukebox.NameMap as NameMap+import Jukebox.Form+import Jukebox.Options+import qualified Data.ByteString.Char8 as BS+import Control.Monad hiding (guard)+import Data.Monoid++data Scheme = Scheme {+  makeFunction :: Type -> NameM Function,+  scheme1 :: (Type -> Bool) -> (Type -> Function) -> Scheme1+  }++data Scheme1 = Scheme1 {+  forAll :: Bind Form -> Form,+  exists :: Bind Form -> Form,+  equals :: Term -> Term -> Form,+  funcAxiom :: Function -> NameM Form,+  typeAxiom :: Type -> NameM Form+  }++guard :: Scheme1 -> (Type -> Bool) -> Input Form -> Input Form+guard scheme mono (Input t k f) = Input t k (aux (pos k) f)+  where aux pos (ForAll (Bind vs f))+          | pos = forAll scheme (Bind vs (aux pos f))+          | otherwise = Not (exists scheme (Bind vs (Not (aux pos f))))+        aux pos (Exists (Bind vs f))+          | pos = exists scheme (Bind vs (aux pos f))+          | otherwise = Not (forAll scheme (Bind vs (Not (aux pos f))))+        aux pos (Literal (Pos (t :=: u)))+          | not (mono (typ t)) = equals scheme t u+        aux pos (Literal (Neg (t :=: u)))+          | not (mono (typ t)) = Not (equals scheme t u)+        aux pos l@Literal{} = l+        aux pos (Not f) = Not (aux (not pos) f)+        aux pos (And fs) = And (fmap (aux pos) fs)+        aux pos (Or fs) = Or (fmap (aux pos) fs)+        aux pos (Equiv _ _) = error "ToFOF.guard: equiv should have been eliminated"+        aux pos (Connective _ _ _) = error "ToFOF.guard: connective should have been eliminated"+        pos Axiom = True+        pos Conjecture = False++translate, translate1 :: Scheme -> (Type -> Bool) -> Problem Form -> Problem Form+translate1 scheme mono f = close f $ \inps -> do+  let tys = types inps+      funcs = functions inps+      -- Hardly any use adding guards if there's only one type.+      mono' | length tys == 1 = const True+            | otherwise = mono+  typeFuncs <- mapM (makeFunction scheme) tys+  let typeMap = NameMap.fromList (zipWith (:::) tys typeFuncs)+      lookupType ty =+        case NameMap.lookup (name ty) typeMap of+          Just (_ ::: f) -> f+          Nothing -> error "ToFOF.translate: type not found"+      scheme1' = scheme1 scheme mono' lookupType+  funcAxioms <- mapM (funcAxiom scheme1') funcs+  typeAxioms <- mapM (typeAxiom scheme1') tys+  let axioms =+        map (simplify . ForAll . bind) . split . simplify . foldr (/\) true $+          funcAxioms ++ typeAxioms+  return $+    [ Input (BS.pack ("types" ++ show i)) Axiom axiom | (axiom, i) <- zip axioms [1..] ] +++    map (guard scheme1' mono') inps++translate scheme mono f =+  let f' =+        close f $ \inps -> do+          forM inps $ \(Input tag kind f) -> do+            let prepare f = fmap (foldr (/\) true) (run (withName tag (removeEquiv (simplify f))))+            fmap (Input tag kind) $+              case kind of+                Axiom -> prepare f+                Conjecture -> fmap notInwards (prepare (nt f))+      typeI = Type nameI (Finite 0) Infinite+  in close (translate1 scheme mono f') (return . mapType (const typeI))++-- Typing functions.++tagsFlags :: OptionParser Bool+tagsFlags =+  bool "more-axioms"+    ["Add extra typing axioms for function arguments,",+     "when using typing tags.",+     "These are unnecessary for completeness but may help (or hinder!) the prover."]++tags :: Bool -> Scheme+tags moreAxioms = Scheme+  { makeFunction = \ty ->+      newFunction (BS.append (BS.pack "to_") (baseName ty)) [ty] ty,+    scheme1 = tags1 moreAxioms }++tags1 :: Bool -> (Type -> Bool) -> (Type -> Function) -> Scheme1+tags1 moreAxioms mono fs = Scheme1+  { forAll = ForAll,+    exists = \(Bind vs f) ->+       let bound = foldr (/\) true (map guard (NameMap.toList vs))+           guard v | mono (typ v) = true+                   | otherwise = Literal (Pos (fs (typ v) :@: [Var v] :=: Var v))+       in Exists (Bind vs (simplify bound /\ f)),+    equals =+      \t u ->+        let protect t@Var{} = fs (typ t) :@: [t]+            protect t = t+        in Literal (Pos (protect t :=: protect u)),+    funcAxiom = tagsAxiom moreAxioms mono fs,+    typeAxiom = \ty -> if moreAxioms then tagsAxiom False mono fs (fs ty) else tagsExists mono ty (fs ty) }++tagsAxiom :: Bool -> (Type -> Bool) -> (Type -> Function) -> Function -> NameM Form+tagsAxiom moreAxioms mono fs f@(_ ::: FunType args res) = do+  vs <- forM args $ \ty ->+    fmap Var (newSymbol "X" ty)+  let t = f :@: vs+      at n f xs = take n xs ++ [f (xs !! n)] ++ drop (n+1) xs+      tag t = fs (typ t) :@: [t]+      equate (ty, t') | mono ty = true+                      | otherwise = t `eq` t'+      t `eq` u | typ t == O = Literal (Pos (Tru t)) `Equiv` Literal (Pos (Tru u))+               | otherwise = Literal (Pos (t :=: u))+      ts = (typ t, tag t):+           [ (typ (vs !! n), f :@: at n tag vs)+           | moreAxioms,+             n <- [0..length vs-1] ]+  return (foldr (/\) true (map equate ts))++tagsExists :: (Type -> Bool) -> Type -> Function -> NameM Form+tagsExists mono ty f+  | mono ty = return true+  | otherwise = do+      v <- fmap Var (newSymbol "X" ty)+      return (Exists (bind (Literal (Pos (f :@: [v] :=: v)))))++-- Typing predicates.++guards :: Scheme+guards = Scheme+  { makeFunction = \ty ->+      newFunction (BS.append (BS.pack "is_") (baseName ty)) [ty] O,+    scheme1 = guards1 }++guards1 :: (Type -> Bool) -> (Type -> Function) -> Scheme1+guards1 mono ps = Scheme1+  { forAll = \(Bind vs f) ->+       let bound = foldr (/\) true (map guard (NameMap.toList vs))+           guard v | mono (typ v) = true+                   | not (naked True v f) = true+                   | otherwise = Literal (Pos (Tru (ps (typ v) :@: [Var v])))+       in ForAll (Bind vs (simplify (Not bound) \/ f)),+    exists = \(Bind vs f) ->+       let bound = foldr (/\) true (map guard (NameMap.toList vs))+           guard v | mono (typ v) = true+                   | not (naked True v f) = true+                   | otherwise = Literal (Pos (Tru (ps (typ v) :@: [Var v])))+       in Exists (Bind vs (simplify bound /\ f)),+    equals = \t u -> Literal (Pos (t :=: u)),+    funcAxiom = guardsAxiom mono ps,+    typeAxiom = guardsTypeAxiom mono ps }++naked :: Symbolic a => Bool -> Variable -> a -> Bool+naked pos v f+  | Form <- typeOf f,+    Not f' <- f = naked (not pos) v f'+  | Signed <- typeOf f,+    Pos f' <- f = naked pos v f'+  | Signed <- typeOf f,+    Neg f' <- f = naked (not pos) v f'+  | Atomic <- typeOf f,+    t :=: u <- f,+    pos = t == Var v || u == Var v+  | Bind_ <- typeOf f,+    Bind vs f' <- f = not (NameMap.member v vs) && naked pos v f'+  | otherwise = getAny (collect (Any . naked pos v) f)++guardsAxiom :: (Type -> Bool) -> (Type -> Function) -> Function -> NameM Form+guardsAxiom mono ps f@(_ ::: FunType args res)+  | mono res = return true+  | otherwise = do+    vs <- forM args $ \ty ->+      fmap Var (newSymbol "X" ty)+    return (Literal (Pos (Tru (ps res :@: [f :@: vs]))))++guardsTypeAxiom :: (Type -> Bool) -> (Type -> Function) -> Type -> NameM Form+guardsTypeAxiom mono ps ty+  | mono ty = return true+  | otherwise = do+    v <- fmap Var (newSymbol "X" ty)+    return (Exists (bind (Literal (Pos (Tru (ps ty :@: [v]))))))
+ Jukebox/Name.hs view
@@ -0,0 +1,152 @@+{-# LANGUAGE TypeOperators, GeneralizedNewtypeDeriving, FlexibleInstances, DeriveDataTypeable #-}+module Jukebox.Name(+  Name, uniqueId, base,+  stringBaseName,+  unsafeMakeName,+  (:::)(..), lhs, rhs,+  Named(..),+  Closed, close, close_, closedIO, open, closed0, stdNames, nameO, nameI, NameM, newName,+  unsafeClose, maxIndex, supply,+  uniquify) where++import qualified Data.ByteString.Char8 as BS+import Data.Hashable+import qualified Jukebox.Map as Map+import Jukebox.Utils+import Data.List+import Data.Ord+import Data.Int+import Data.Typeable+import Control.Monad.State.Strict++data Name =+  Name {+    uniqueId :: {-# UNPACK #-} !Int64,+    base :: BS.ByteString } deriving Typeable++unsafeMakeName = Name++instance Eq Name where+  x == y = uniqueId x == uniqueId y++instance Ord Name where+  compare = comparing uniqueId++instance Hashable Name where+  hashWithSalt s = hashWithSalt s . uniqueId++instance Show Name where+  show Name { uniqueId = uniqueId, base = base } =+    BS.unpack base ++ show uniqueId++class Named a where+  name :: a -> Name+  baseName :: a -> BS.ByteString+  baseName = base . name++stringBaseName :: Named a => a -> String+stringBaseName = BS.unpack . baseName++instance Named BS.ByteString where+  name = error "Name.name: used a ByteString as a name"+  baseName = id++instance Named [Char] where+  name = error "Name.name: used a String as a name"+  baseName = BS.pack++instance Named Name where+  name = id++data a ::: b = !a ::: !b deriving (Show, Typeable)++lhs :: (a ::: b) -> a+lhs (x ::: _) = x++rhs :: (a ::: b) -> b+rhs (_ ::: y) = y++instance Named a => Eq (a ::: b) where s == t = name s == name t+instance Named a => Ord (a ::: b) where compare = comparing name+instance Named a => Hashable (a ::: b) where hashWithSalt s = hashWithSalt s . name++instance Named a => Named (a ::: b) where+  name (a ::: b) = name a++newtype NameM a =+  NameM { unNameM :: State Int64 a }+    deriving (Functor, Monad)++newName :: Named a => a -> NameM Name+newName x = NameM $ do+  idx <- get+  let idx'= idx+1+  when (idx' < 0) $ error "Name.newName: too many names"+  put $! idx'+  return $! Name idx' (baseName x)++data Closed a =+  Closed {+    maxIndex :: {-# UNPACK #-} !Int64,+    open :: !a } deriving Typeable++unsafeClose = Closed++instance Functor Closed where+  fmap f (Closed m x) = Closed m (f x)++closed0 :: Closed ()+nameO, nameI :: Name++closed0 = close_ stdNames (return ())+[nameO, nameI] = open stdNames++stdNames :: Closed [Name]+stdNames = close (Closed 0 ["$o", "$i"]) (mapM newName)++close :: Closed a -> (a -> NameM b) -> Closed b+close Closed{ maxIndex = maxIndex, open = open } f =+  let (open', maxIndex') = runState (unNameM (f open)) maxIndex+  in Closed{ maxIndex = maxIndex', open = open' }++close_ :: Closed a -> NameM b -> Closed b+close_ x m = close x (const m)++closedIO :: Closed (IO a) -> IO (Closed a)+closedIO Closed { maxIndex = maxIndex, open = open } = do+  open' <- open+  return Closed { maxIndex = maxIndex, open = open' }++supply :: (Closed () -> Closed a) -> NameM a+supply f = NameM $ do+  idx <- get+  let res = f (Closed idx ())+  put (maxIndex res)+  return (open res)++uniquify :: [Name] -> (Name -> BS.ByteString)+uniquify xs = f+  -- Note to self: nameO should always be mapped to "$o".+  -- Therefore we make sure that smaller names have priority+  -- over bigger names here.+  where+    baseMap =+      -- Assign numbers to each baseName+      fmap (\xs -> Map.fromList (zip (usort xs) [0 :: Int ..])) .+      -- Partition by baseName+      foldl' (\m x -> Map.insertWith (++) (base x) [x] m) Map.empty $+      xs+    f x = combine (base x) b+      where+        b = Map.findWithDefault (error $ "Name.uniquify: name " ++ show x ++ " not found") x+            (Map.findWithDefault (error $ "Name.uniquify: name " ++ show x ++ " not found") (baseName x) baseMap)+    combine s 0 = s+    combine s n = disambiguate (BS.append s (BS.pack (show n)))+    disambiguate s+      | not (Map.member s baseMap) = s+      | otherwise =+        -- Odd situation: we have e.g. a name with baseName "f1",+        -- and two names with baseName "f", which would normally+        -- become "f" and "f1", but the "f1" conflicts.+        -- Try appending some suffix.+        disambiguate (BS.snoc s '_')
+ Jukebox/NameMap.hs view
@@ -0,0 +1,46 @@+module Jukebox.NameMap(NameMap, lookup, lookup_, insert, member, delete, (!), fromList, toList, singleton) where++import Prelude hiding (lookup)+import Jukebox.Name+import Jukebox.Map(Map)+import qualified Jukebox.Map as Map+import Data.Int+import qualified Jukebox.Seq as S++type NameMap a = Map Int64 a++lookup :: Name -> NameMap a -> Maybe a+lookup x m = Map.lookup (uniqueId x) m++lookup_ :: Named a => a -> NameMap b -> b+lookup_ x m =+  case lookup (name x) m of+    Nothing -> error "NameMap.lookup_: key not found"+    Just y -> y++insert :: Named a => a -> NameMap a -> NameMap a+insert x m = Map.insert (uniqueId (name x)) x m++member :: Named a => a -> NameMap a -> Bool+member x m = keyMember (name x) m++keyMember :: Name -> NameMap a -> Bool+keyMember x m = Map.member (uniqueId x) m++delete :: Named a => a -> NameMap a -> NameMap a+delete x m = deleteKey (name x) m++deleteKey :: Name -> NameMap a -> NameMap a+deleteKey x m = Map.delete (uniqueId x) m++(!) :: NameMap a -> Name -> a+m ! x = m Map.! uniqueId (name x)++fromList :: (S.List f, Named a) => f a -> NameMap a+fromList xs = Map.fromList [ (uniqueId (name x), x) | x <- S.toList xs ]++toList :: NameMap a -> [a]+toList = Map.elems++singleton :: Named a => a -> NameMap a+singleton x = insert x Map.empty
+ Jukebox/Options.hs view
@@ -0,0 +1,352 @@+{-# LANGUAGE FlexibleContexts #-}+module Jukebox.Options where++import Control.Arrow((***))+import Control.Applicative+import Control.Monad(mplus)+import Data.Char+import Data.List+import Data.Monoid+import System.Environment+import System.Exit+import System.IO++----------------------------------------------------------------------+-- A parser of some kind annotated with a help text of some kind+data Annotated d p a = Annotated+  { descr :: d,+    parser :: p a }++instance Functor p => Functor (Annotated d p) where+  fmap f (Annotated d x) = Annotated d (fmap f x)++instance (Monoid d, Applicative p) => Applicative (Annotated d p) where+  pure = Annotated mempty . pure+  Annotated d f <*> Annotated d' x =+    Annotated (d `mappend` d') (f <*> x)++instance (Monoid d, Monoid (p a)) => Monoid (Annotated d p a) where+  mempty = Annotated mempty mempty+  Annotated d p `mappend` Annotated d' p' =+    Annotated (d `mappend` d') (p `mappend` p')++----------------------------------------------------------------------+-- Parsing of single arguments (e.g. integers)+-- and single flags (e.g. --verbosity 3).++type ArgParser = Annotated ArgDesc SeqParser+type ArgDesc = String -- description, e.g. "<number>"++-- Called SeqParser because <*> is sequential composition.+data SeqParser a = SeqParser+  { args :: Int, -- How many arguments will be consumed+    consume :: [String] -> Either Error a }++instance Functor SeqParser where+  fmap f (SeqParser a c) = SeqParser a (fmap f . c)++instance Applicative SeqParser where+  pure = SeqParser 0 . const . pure+  SeqParser a c <*> SeqParser a' c' = SeqParser (a + a') f+    where f xs = c xs <*> c' (drop a xs)++arg :: ArgDesc -> String -> (String -> Maybe a) -> ArgParser a+arg desc err f = Annotated desc (SeqParser 1 c)+  where c [] = Left (Mistake err)+        c (x:_) | "--" `isPrefixOf` x = Left (Mistake err)+        c (x:_) =+          case f x of+            Nothing -> Left (Mistake err)+            Just ok -> Right ok++argNum :: (Read a, Num a) => ArgParser a+argNum = arg "<num>" "expected a number" f+  where f x =+          case reads x of+            [(y, "")] -> Just y+            _ -> Nothing++argFile :: ArgParser FilePath+argFile = arg "<file>" "expected a file" Just++argFiles :: ArgParser [FilePath]+argFiles = arg "<files>" "expected a list of files" $ \x ->+  Just $ elts $ x ++ ","+  where+    elts [] = []+    elts s  = w:elts r+      where+        w = takeWhile (/= ',') s+        r = tail (dropWhile (/= ',') s)++argName :: ArgParser FilePath+argName = arg "<name>" "expected a name" Just++argNums :: ArgParser [Int]+argNums = arg "<nums>" "expected a number list" $ \x ->+  nums . groupBy (\x y -> isDigit x == isDigit y) $ x ++ ","+  where+    nums []                = Just []+    nums (n:",":ns)        = (read n :) `fmap` nums ns+    nums (n:"..":m:",":ns) = ([read n .. read m] ++) `fmap` nums ns+    nums _                 = Nothing++argOption :: [String] -> ArgParser String+argOption as = arg ("<" ++ concat (intersperse " | " as) ++ ">") "expected an argument" elts+  where+    elts x | x `elem` as = Just x+           | otherwise   = Nothing++argList :: [String] -> ArgParser [String]+argList as = arg ("<" ++ concat (intersperse " | " as) ++ ">*") "expected an argument" $ \x ->+  elts $ x ++ ","+  where+    elts []              = Just []+    elts s | w `elem` as = (w:) `fmap` elts r+      where+        w = takeWhile (/= ',') s+        r = tail (dropWhile (/= ',') s)+    +    elts _ = Nothing++-- A parser that always fails but produces an error message (useful for --help etc.)+argUsage :: ExitCode -> [String] -> ArgParser a+argUsage code err = Annotated [] (SeqParser 0 (const (Left (Usage code err))))++----------------------------------------------------------------------+-- Parsing of whole command lines.++type OptionParser = Annotated [Flag] ParParser++-- Called ParParser because <*> is parallel composition.+-- In other words, in f <*> x, f and x both see the whole command line.+-- We want this when parsing command lines because+-- it doesn't matter what order we write the options in.+data ParParser a = ParParser+  { val :: IO a, -- impure so we can put system information in our options records+    peek :: [String] -> ParseResult a }++data ParseResult a+    -- Yes n x: consumed n arguments, continue parsing with x+  = Yes Int (ParParser a)+    -- No x: didn't understand this flag, continue parsing with x+  | No (ParParser a)+    -- Error+  | Error Error++data Error =+    Mistake String+  | Usage ExitCode [String]++instance Functor ParParser where+  fmap f x = pure f <*> x++instance Applicative ParParser where+  pure x = ParParser (return x) (const (pure x))+  ParParser v p <*> ParParser v' p' =+    ParParser (v <*> v') (\xs -> p xs <*> p' xs)++instance Functor ParseResult where+  fmap f x = pure f <*> x++instance Applicative ParseResult where+  pure = No . pure+  Yes n r <*> Yes n' r'+    | n == n' = Yes n (r <*> r')+    | otherwise = error "Options.ParseResult: inconsistent number of arguments"+  Error s <*> _ = Error s+  _ <*> Error s = Error s+  Yes n r <*> No x = Yes n (r <*> x)+  No x <*> Yes n r = Yes n (x <*> r)+  No f <*> No x = No (f <*> x)++runPar :: ParParser a -> [String] -> Either Error (IO a)+runPar p [] = Right (val p)+runPar p xs@(x:_) =+  case peek p xs of+    Yes n p' -> runPar p' (drop n xs)+    No _ -> Left (Mistake ("Didn't recognise option " ++ x))+    Error err -> Left err++awaitP :: (String -> Bool) -> a -> (String -> [String] -> ParseResult a) -> ParParser a+awaitP p def par = ParParser (return def) f+  where f (x:xs) | p x =+          case par x xs of+            Yes n r -> Yes (n+1) r+            No _ ->+              error "Options.await: got No"+            Error err -> Error err+        f _ = No (awaitP p def par)++await :: String -> a -> ([String] -> ParseResult a) -> ParParser a+await flag def f = awaitP (\x -> "--" ++ flag == x) def (const f)++data Flag = Flag+  { flagName :: String,+    flagGroup :: String,+    flagHelp :: [String],+    flagArgs :: String } deriving (Eq, Show)++-- From a flag name and and argument parser, produce an OptionParser.+flag :: String -> [String] -> a -> ArgParser a -> OptionParser a+flag name help def (Annotated desc (SeqParser args f)) =+  Annotated [desc'] (await name def g)+  where desc' = Flag name "Common options" help desc+        g xs =+          case f xs of+            Left (Mistake err) -> Error (Mistake ("Error in option --" ++ name ++ ": " ++ err))+            Left (Usage code err) -> Error (Usage code err)+            Right y -> Yes args (pure y <* noFlag)+        -- Give an error if the flag is repeated.+        noFlag =+          await name ()+            (const (Error (Mistake ("Option --" ++ name ++ " occurred twice"))))++manyFlags :: String -> [String] -> ArgParser a -> OptionParser [a]+manyFlags name help (Annotated desc (SeqParser args f)) =+  fmap reverse (Annotated [desc'] (go []))+  where desc' = Flag name "Common options" help desc+        go xs = await name xs (g xs)+        g xs ys =+          case f ys of+            Left (Mistake err) -> Error (Mistake ("Error in option --" ++ name ++ ": " ++ err))+            Left (Usage code err) -> Error (Usage code err)+            Right x -> Yes args (go (x:xs))++-- Read filenames from the command line.+filenames :: OptionParser [String]+filenames = Annotated [] (from [])+  where from xs = awaitP p xs (f xs)+        p x = not ("--" `isPrefixOf` x)+        f xs y ys = Yes 0 (from (xs ++ [y]))++-- Take a value from the environment.+io :: IO a -> OptionParser a+io m = Annotated [] p+  where p = ParParser m (const (No p))++-- A boolean flag.+bool :: String -> [String] -> OptionParser Bool+bool name help = flag name help False (pure True)++inGroup :: String -> OptionParser a -> OptionParser a+inGroup x (Annotated fls f) = Annotated [fl{ flagGroup = x } | fl <- fls] f++----------------------------------------------------------------------+-- Selecting a particular tool.++type ToolParser = Annotated [Tool] PrefixParser+data Tool = Tool+  { toolProgName :: String,+    toolName :: String,+    toolVersion :: String,+    toolHelp :: String }++newtype PrefixParser a = PrefixParser (String -> Maybe (Tool, ParParser a))++instance Functor PrefixParser where+  fmap f (PrefixParser g) = PrefixParser (fmap (id *** fmap f) . g)++instance Monoid (PrefixParser a) where+  mempty = PrefixParser (const Nothing)+  PrefixParser f `mappend` PrefixParser g =+    PrefixParser (\xs -> f xs `mplus` g xs)++runPref :: PrefixParser a -> [String] -> Either Error (IO a)+runPref _ [] = Left (Mistake "Expected a tool name")+runPref (PrefixParser f) (x:xs) =+  case f x of+    Nothing -> Left (Mistake ("No such tool " ++ x))+    Just (t, p) ->+      case runPar p xs of+        Left (Mistake x) -> Left (Usage (ExitFailure 1) (argError t x))+        Left (Usage code x) -> Left (Usage code x)+        Right x -> Right x++tool :: Tool -> OptionParser a -> ToolParser a+tool t p =+  Annotated [t] (PrefixParser f)+  where f x | x == toolProgName t = Just (t, parser p')+        f _ = Nothing+        p' = p <* versionParser <* helpParser+        helpParser = flag "help" ["Show this help text."] () (argUsage ExitSuccess (help t p'))+        versionParser = flag "version" ["Print the version number."] () (argUsage ExitSuccess [greeting t])++-- Use the program name as a tool name if possible.+getEffectiveArgs :: ToolParser a -> IO [String]+getEffectiveArgs (Annotated tools _) = do+  progName <- getProgName+  args <- getArgs+  if progName `elem` map toolProgName tools+    then return (progName:args)+    else return args++parseCommandLine :: Tool -> ToolParser a -> IO a+parseCommandLine t p = do+  let p' = versionTool t `mappend` helpTool t p `mappend` p+  args <- getEffectiveArgs p'+  case runPref (parser p') args of+    Left (Mistake err) -> printHelp (ExitFailure 1) (argError t err)+    Left (Usage code err) -> printHelp code err+    Right x -> x++----------------------------------------------------------------------+-- Help screens.++printHelp :: ExitCode -> [String] -> IO a+printHelp code xs = do+  mapM_ (hPutStrLn stderr ) xs+  exitWith code++argError :: Tool -> String -> [String]+argError t err = [+  greeting t,+  err ++ ". Try --help."+  ]++usageTool :: Tool -> String -> [String] -> String -> ToolParser a+usageTool t0 flag msg bit = tool (Tool flag' flag' flag' "0") p+  where p = Annotated [] (ParParser (printHelp ExitSuccess msg)+                                    (const (Error (Usage (ExitFailure 1) msg'))))+        flag' = "--" ++ flag+        msg' = [+          greeting t0,+          "Didn't expect any arguments after " ++ flag' ++ ".",+          "Try " ++ toolProgName t0 ++ " <toolname> " ++ flag' ++ " if you want " ++ bit ++ " a particular tool."+          ]++versionTool :: Tool -> ToolParser a+versionTool t0 = usageTool t0 "version" [greeting t0] "the version of"++helpTool :: Tool -> ToolParser a -> ToolParser a+helpTool t0 p = usageTool t0 "help" help "help for"+  where help = concat [+          [greeting t0],+          usage t0 "<toolname> ",+          ["<toolname> can be any of the following:"],+          concat [ justify (toolProgName t) [toolHelp t] | t <- descr p ],+          ["", "Use " ++ toolProgName t0 ++ " <toolname> --help for help on a particular tool."]+          ]++help :: Tool -> OptionParser a -> [String]+help t p = concat [+  [greeting t],+  usage t "",+  ["<option> can be any of the following:"],+  concat [ justify ("--" ++ flagName f ++ " " ++ flagArgs f) (flagHelp f) | f <- nub (descr p) ]+  ]++greeting :: Tool -> String+greeting t = toolName t ++ ", version " ++ toolVersion t ++ ", 2011-10-04."++usage :: Tool -> String -> [String]+usage t opts = [+  "Usage: " ++ toolProgName t ++ " " ++ opts ++ "<option>* <file>*",+  toolHelp t ++ ".",+  "",+  "<file> should be in TPTP format.",+  ""+  ]++justify :: String -> [String] -> [String]+justify name help = ["", "  " ++ name] ++ map ("    " ++) help
+ Jukebox/ProgressBar.hs view
@@ -0,0 +1,67 @@+module Jukebox.ProgressBar(ProgressBar(..), tickOnRead, withProgressBar) where++import System.IO+import Data.IORef+import Data.Word+import qualified Data.ByteString.Lazy as BSL+--import Data.ByteString.Lazy.Progress+import Control.Exception+import Control.Monad+import Prelude hiding (last)++data ProgressBar = ProgressBar { +  tick :: IO (),+  enter :: String -> IO (),+  leave :: IO ()+  }++data State = State {+  position :: Int,+  enabled :: Bool,+  level :: Int,+  last :: Last+  }+             +-- What happened last.+data Last = Tick | Enter | Leave++tickOnRead :: ProgressBar -> BSL.ByteString -> IO BSL.ByteString+tickOnRead p s = do+  let chunkSize = 1000000 :: Word64+  nextRef <- newIORef chunkSize+  let f _ index = do+        next <- readIORef nextRef+        when (next <= index) $ do+          tick p+          writeIORef nextRef (next + chunkSize)+  -- trackProgress f s+  return s++withProgressBar :: (ProgressBar -> IO a) -> IO a+withProgressBar f = do+  state <- newIORef State { position = 0, enabled = True, level = 0, last = Enter }+  let spinny 0 = ".-\08"+      spinny 1 = "\\\08"+      spinny 2 = "|\08"+      spinny 3 = "/\08"+      put s = hPutStr stderr s >> hFlush stderr+      tick = do+        s <- readIORef state+        pos <-+          case last s of+            Tick -> return (position s)+            Enter -> return 0+            Leave -> put " " >> return 0+        put (spinny pos)+        writeIORef state s{ position = (pos+1) `mod` 4, last = Tick }+      enter msg = do+        s <- readIORef state+        when (level s /= 0) (put " (")+        put (msg ++ "...")+        writeIORef state s{ last = Enter, level = level s + 1 }+      leave = do+        s <- readIORef state+        when (level s /= 1) (put ")")+        writeIORef state s{last = Leave, level = level s - 1 }+  f ProgressBar { tick = tick, enter = enter, leave = leave }+    `finally` put " \n"
+ Jukebox/Provers/E.hs view
@@ -0,0 +1,113 @@+{-# LANGUAGE GADTs #-}+module Jukebox.Provers.E where++import Jukebox.Form hiding (tag, Or)+import Jukebox.Name+import Jukebox.Options+import Control.Applicative hiding (Const)+import Control.Monad+import Jukebox.Utils+import Jukebox.TPTP.Parsec+import Jukebox.TPTP.ClauseParser hiding (newFunction, Term)+import Jukebox.TPTP.Print+import Jukebox.TPTP.Lexer hiding (Normal, keyword, Axiom, name, Var)+import Text.PrettyPrint.HughesPJ hiding (parens)+import Data.Maybe+import qualified Data.ByteString.Char8 as BS+import qualified Data.ByteString.Lazy.Char8 as BSL+import qualified Jukebox.Seq as S+import qualified Jukebox.Map as Map+import Jukebox.Map(Map)+import Data.Hashable+import System.Exit++data EFlags = EFlags {+  eprover :: String,+  timeout :: Maybe Int,+  memory :: Maybe Int+  }++eflags =+  inGroup "E prover options" $+  EFlags <$>+    flag "eprover"+      ["Path to the E theorem prover.",+       "Default: eprover"]+      "eprover"+      argFile <*>+    flag "timeout"+      ["Timeout for E, in seconds.",+       "Default: (off)"]+      Nothing+      (fmap Just argNum) <*>+    flag "memory"+      ["Memory limit for E, in megabytes.",+       "Default: (off)"]+      Nothing+      (fmap Just argNum)++-- Work around bug in E answer coding.+mangleAnswer :: Symbolic a => a -> NameM a+mangleAnswer t =+  case typeOf t of+    Term -> term t+    _ -> recursivelyM mangleAnswer t+  where term (f :@: [t]) | stringBaseName f == "$answer" = do+          wrap <- newFunction "answer" [typ t] (head (funArgs f))+          return (f :@: [wrap :@: [t]])+        term t = recursivelyM mangleAnswer t++runE :: (Pretty a, Symbolic a) => EFlags -> Problem a -> IO (Either Answer [Term])+runE flags prob+  | not (isFof (open prob)) = error "runE: E doesn't support many-typed problems"+  | otherwise = do+    (code, str) <- popen (eprover flags) eflags+                   (BS.pack (render (prettyProblem "fof" Normal (close prob mangleAnswer))))+    case code of+      ExitFailure code -> error $ "runE: E failed with exit code " ++ show code ++ ":\n" ++ BS.unpack str+    return (extractAnswer (open prob) (BS.unpack str))+  where eflags = [ "--soft-cpu-limit=" ++ show n | Just n <- [timeout flags] ] +++                 ["--memory-limit=" ++ show n | Just n <- [memory flags] ] +++                 ["--tstp-in", "--tstp-out", "-tAuto", "-xAuto"] +++                 ["-l", "0"]++extractAnswer :: Symbolic a => a -> String -> Either Answer [Term]+extractAnswer prob str = fromMaybe (Left status) (fmap Right answer)+  where env = uniquify (S.unique (names prob))+        varMap = Map.fromList [(env (name x), x) | x <- vars prob]+        funMap = Map.fromList [(env (name x), x) | x <- functions prob]+        result = lines str+        status = head $+          [Satisfiable | "# SZS status Satisfiable" <- result] +++          [Satisfiable | "# SZS status CounterSatisfiable" <- result] +++          [Unsatisfiable | "# SZS status Unsatisfiable" <- result] +++          [Unsatisfiable | "# SZS status Theorem" <- result] +++          [NoAnswer Timeout | "# SZS status ResourceOut" <- result] +++          [NoAnswer Timeout | "# SZS status Timeout" <- result] +++          [NoAnswer Timeout | "# SZS status MemyOut" <- result] +++          [NoAnswer GaveUp]+        answer = listToMaybe $+          [ parse xs+          | line <- result+          , let prefix = "# SZS answers Tuple ["+                suffix = "|_]"+                (prefix', mid) = splitAt (length prefix) line+                (xs, suffix') = splitAt (length mid - length suffix) mid+          , prefix == prefix'+          , suffix == suffix' ]+        parse xs =+          let toks = scan (BSL.pack xs)+          in case run_ parser (UserState initialState toks) of+            Ok _ ts -> ts+            _ -> error "runE: couldn't parse result from E"+        parser =+          parens (bracks term `sepBy1` punct Or)+          <|> fmap (:[]) (bracks term)+        term =+          fmap (Var . lookup varMap) variable <|>+          liftM2 (:@:) (fmap (lookup funMap) atom) terms+        terms =+          bracks (term `sepBy1` punct Comma)+          <|> return []+        lookup :: (Ord a, Hashable a) => Map BS.ByteString a -> BS.ByteString -> a+        lookup m x = Map.findWithDefault (error "runE: result from E mentions free names") x m
+ Jukebox/Sat.hs view
@@ -0,0 +1,70 @@+module Jukebox.Sat+  ( Solver+  , newSolver+  , deleteSolver+  , Lit, neg+  , false, true+  +  , SatSolver(..)+  , newLit+  , addClause+  , solve+  , conflict+  , modelValue+  , value+  )+ where++--------------------------------------------------------------------------------++import MiniSat+  ( Solver+  , deleteSolver+  , Lit(..)+  , neg+  )++import qualified MiniSat as M++--------------------------------------------------------------------------------++false, true :: Lit+true  = MkLit 0+false = neg true++newSolver :: IO Solver+newSolver =+  do s <- M.newSolver+     x <- M.newLit s+     if x == false || x == true+       then do M.addClause s [true]+               return s+       else do error "failed to initialize false and true!"++--------------------------------------------------------------------------------++class SatSolver s where+  getSolver :: s -> Solver++instance SatSolver Solver where+  getSolver s = s++newLit :: SatSolver s => s -> IO Lit+newLit s = M.newLit (getSolver s)++addClause :: SatSolver s => s -> [Lit] -> IO ()+addClause s xs = M.addClause (getSolver s) xs >> return ()++solve :: SatSolver s => s -> [Lit] -> IO Bool+solve s xs = M.solve (getSolver s) xs++conflict :: SatSolver s => s -> IO [Lit]+conflict s = M.conflict (getSolver s)++modelValue :: SatSolver s => s -> Lit -> IO (Maybe Bool)+modelValue s x = M.modelValue (getSolver s) x++value :: SatSolver s => s -> Lit -> IO (Maybe Bool)+value s x = M.value (getSolver s) x++--------------------------------------------------------------------------------
+ Jukebox/Sat3.hs view
@@ -0,0 +1,47 @@+module Jukebox.Sat3 where++import Jukebox.Sat++--------------------------------------------------------------------------------++data Lit3 = Lit3{ isFalse :: Lit, isTrue :: Lit }++false3, true3, bottom3 :: Lit3+false3  = Lit3 true false+true3   = neg3 false3+bottom3 = Lit3 false false++neg3 :: Lit3 -> Lit3+neg3 (Lit3 f t) = Lit3 t f++newLit3 :: SatSolver s => s -> IO Lit3+newLit3 s =+  do a <- newLit s+     b <- newLit s+     addClause s [neg a, neg b]+     return (Lit3 a b)++newLit2 :: SatSolver s => s -> IO Lit3+newLit2 s =+  do a <- newLit s+     return (Lit3 a (neg a))++--------------------------------------------------------------------------------++modelValue3 :: SatSolver s => s -> Lit3 -> IO (Maybe Bool)+modelValue3 s = val3 (modelValue s)++value3 :: SatSolver s => s -> Lit3 -> IO (Maybe Bool)+value3 s = val3 (value s)++val3 :: (Lit -> IO (Maybe Bool)) -> Lit3 -> IO (Maybe Bool)+val3 get (Lit3 f t) =+  do mf <- get f+     case mf of+       Just True -> do return (Just False)+       _         -> do mt <- get t+                       case mt of+                         Just True -> return (Just True)+                         _         -> return Nothing++--------------------------------------------------------------------------------
+ Jukebox/SatEq.hs view
@@ -0,0 +1,85 @@+module Jukebox.SatEq where++import Jukebox.Sat+import Jukebox.Sat3+import Jukebox.SatMin++import Data.IORef+import Data.Map as M++--------------------------------------------------------------------------------++data SolverEq =+  SolverEq+  { satSolver :: Solver+  , counter   :: IORef Int+  , table     :: IORef (Map (Elt,Elt) Lit3)+  , model     :: IORef (Maybe (Map Elt Elt))+  }++newSolverEq :: Solver -> IO SolverEq+newSolverEq s =+  do ctr <- newIORef 0+     tab <- newIORef M.empty+     mod <- newIORef Nothing+     return SolverEq+       { satSolver = s+       , counter   = ctr+       , table     = tab+       , model     = mod+       }++instance SatSolver SolverEq where+  getSolver = satSolver++class SatSolver s => EqSolver s where+  getSolverEq :: s -> SolverEq++instance EqSolver SolverEq where+  getSolverEq s = s++--------------------------------------------------------------------------------++newtype Elt = Elt Int+  deriving ( Eq, Ord )++instance Show Elt where+  show (Elt k) = "#" ++ show k++newElt :: EqSolver s => s -> IO Elt+newElt s =+  do k <- readIORef (counter (getSolverEq s))+     writeIORef (counter (getSolverEq s)) $! k+1+     return (Elt k)++equal :: EqSolver s => s -> Elt -> Elt -> IO Lit3+equal s x y =+  case x `compare` y of+    GT -> equal s y x+    EQ -> return true3+    LT -> do tab <- readIORef (table (getSolverEq s))+             case M.lookup (x,y) tab of+               Just q ->+                 do return q+       +               Nothing ->+                 do q <- newLit3 s+                    writeIORef (table (getSolverEq s)) (M.insert (x,y) q tab)+                    return q++--------------------------------------------------------------------------------++solveEq :: EqSolver s => s -> [Lit] -> IO Bool+solveEq = undefined++--------------------------------------------------------------------------------++modelRep :: EqSolver s => s -> Elt -> IO (Maybe Elt)+modelRep s x =+  do mmod <- readIORef (model (getSolverEq s))+     return $+       case mmod of+         Just mp -> M.lookup x mp+         Nothing -> Nothing++--------------------------------------------------------------------------------
+ Jukebox/SatMin.hs view
@@ -0,0 +1,29 @@+module Jukebox.SatMin where++import Jukebox.Sat++solveLocalMin :: SatSolver s => s -> [Lit] -> [Lit] -> IO Bool+solveLocalMin s as ms =+  do b <- solve s as+     if b then do l <- newLit s -- used as a local assumption for this minimization+                  localMin s as l ms+                  addClause s [neg l]+                  return True+          else do return False++localMin :: SatSolver s => s -> [Lit] -> Lit -> [Lit] -> IO ()+localMin s as l ms =+  do -- find out the current values of the m's+     bs <- sequence [ modelValue s m | m <- ms ]+  +     -- assert that all false m's should stay false+     sequence_ [ addClause s [neg l, neg m] | (m,b) <- ms `zip` bs, b /= Just True ]+     +     -- assert that at least one true m should become false also+     let ms1 = [ m | (m,Just True)  <- ms `zip` bs ]+     addClause s (neg l : [ neg m | m <- ms1 ])+     +     -- is there still a solution?+     b <- solve s (l:as)+     if b then localMin s as l ms1+          else return ()
+ Jukebox/Seq.hs view
@@ -0,0 +1,100 @@+-- Strict lists with efficient append.+module Jukebox.Seq where++import Prelude hiding (concat, concatMap, length, mapM, mapM_)+import Control.Monad hiding (mapM, mapM_)+import Data.Hashable+import qualified Data.HashSet as Set+import Data.Monoid++data Seq a = Append (Seq a) (Seq a) | Unit a | Nil++class List f where+  fromList :: f a -> Seq a+  toList :: f a -> [a]++instance List [] where+  fromList = foldr cons Nil+  toList = id++instance List Seq where+  fromList = id+  toList x = go [x]+    -- (if you squint here you can see difference lists...)+    where go (Nil:left) = go left+          go (Unit x:left) = x:go left+          go (Append x y:left) = go (x:y:left)+          go [] = []++appendA :: Seq a -> Seq a -> Seq a+appendA Nil xs = xs+appendA xs Nil = xs+appendA xs ys = Append xs ys++instance Show a => Show (Seq a) where+  show = show . toList++cons :: a -> Seq a -> Seq a+cons x xs = Unit x `appendA` xs++snoc :: Seq a -> a -> Seq a+snoc xs x = xs `appendA` Unit x++append :: (List f, List g) => f a -> g a -> Seq a+append xs ys = fromList xs `appendA` fromList ys++instance Functor Seq where+  fmap f (Append x y) = Append (fmap f x) (fmap f y)+  fmap f (Unit x) = Unit (f x)+  fmap f Nil = Nil++instance Monad Seq where+  return = Unit+  x >>= f = concatMapA f x+  fail _ = Nil++instance MonadPlus Seq where+  mzero = Nil+  mplus = append++instance Monoid (Seq a) where+  mempty = Nil+  mappend = append++concat :: (List f, List g) => f (g a) -> Seq a+concat = concatMap id++concatMap :: (List f, List g) => (a -> g b) -> f a -> Seq b+concatMap f xs = concatMapA (fromList . f) (fromList xs)++concatMapA :: (a -> Seq b) -> Seq a -> Seq b+concatMapA f = aux+  where aux (Append x y) = aux x `appendA` aux y+        aux (Unit x) = f x+        aux Nil = Nil++fold :: (b -> b -> b) -> (a -> b) -> b -> Seq a -> b+fold app u n (Append x y) = app (fold app u n x) (fold app u n y)+fold app u n (Unit x) = u x+fold app u n Nil = n++unique :: (Ord a, Hashable a, List f) => f a -> [a]+unique = Set.toList . Set.fromList . toList . fromList++length :: Seq a -> Int+length Nil = 0+length (Unit _) = 1+length (Append x y) = length x + length y++mapM :: Monad m => (a -> m b) -> Seq a -> m (Seq b)+mapM f Nil = return Nil+mapM f (Unit x) = liftM Unit (f x)+mapM f (Append x y) = liftM2 Append (mapM f x) (mapM f y)++mapM_ :: Monad m => (a -> m ()) -> Seq a -> m ()+mapM_ f Nil = return ()+mapM_ f (Unit x) = f x+mapM_ f (Append x y) = mapM_ f x >> mapM_ f y++sequence :: Monad m => Seq (m a) -> m (Seq a)+sequence = mapM id
+ Jukebox/TPTP/ClauseParser.hs view
@@ -0,0 +1,481 @@+-- Parse and typecheck TPTP clauses, stopping at include-clauses.++{-# LANGUAGE BangPatterns, MultiParamTypeClasses, ImplicitParams, FlexibleInstances, TypeOperators, TypeFamilies #-}+module Jukebox.TPTP.ClauseParser where++import Jukebox.TPTP.Parsec+import Control.Applicative+import Control.Monad+import qualified Data.ByteString.Lazy.Char8 as BSL+import qualified Data.ByteString.Char8 as BS+import qualified Jukebox.Map as Map+import Jukebox.Map(Map)+import qualified Jukebox.Seq as S+import Jukebox.Seq(Seq)+import Data.List+import Jukebox.TPTP.Print+import Jukebox.Name hiding (name)+import qualified Jukebox.NameMap as NameMap++import Jukebox.TPTP.Lexer hiding+  (Pos, Error, Include, Var, Type, Not, ForAll,+   Exists, And, Or, Type, Apply, Implies, Follows, Xor, Nand, Nor,+   keyword, defined, kind)+import qualified Jukebox.TPTP.Lexer as L+import qualified Jukebox.Form as Form+import Jukebox.Form hiding (tag, kind, Axiom, Conjecture, Question, newFunction, TypeOf(..))+import qualified Jukebox.Name as Name++-- The parser monad++data ParseState =+  MkState ![Input Form]                           -- problem being constructed, inputs are in reverse order+          !(Map BS.ByteString Type)               -- types+          !(Map BS.ByteString (Name ::: FunType)) -- functions+          !(Map BS.ByteString (Name ::: Type))    -- free variables in CNF clause+          Type                                    -- the $i type+          !(Closed ())                            -- name generation+type Parser = Parsec ParsecState+type ParsecState = UserState ParseState TokenStream++-- An include-clause.+data IncludeStatement = Include BS.ByteString (Maybe [Tag]) deriving Show++-- The initial parser state.+initialState :: ParseState+initialState = MkState [] (Map.insert (BS.pack "$i") typeI Map.empty) Map.empty Map.empty typeI closed0+  where typeI = Type nameI Infinite Infinite++instance Stream TokenStream Token where+  primToken (At _ (Cons Eof _)) ok err fatal = err+  primToken (At _ (Cons L.Error _)) ok err fatal = fatal "Lexical error"+  primToken (At _ (Cons t ts)) ok err fatal = ok ts t+  type Position TokenStream = TokenStream+  position = id++-- Wee function for testing.+testParser :: Parser a -> String -> Either [String] a+testParser p s = snd (run (const []) p (UserState initialState (scan (BSL.pack s))))++getProblem :: Parser [Input Form]+getProblem = do+  MkState p _ _ _ _ _ <- getState+  return (reverse p)++-- Primitive parsers.++{-# INLINE keyword' #-}+keyword' p = satisfy p'+  where p' Atom { L.keyword = k } = p k+        p' _ = False+{-# INLINE keyword #-}+keyword k = keyword' (== k) <?> "'" ++ show k ++ "'"+{-# INLINE punct' #-}+punct' p = satisfy p'+  where p' Punct { L.kind = k } = p k+        p' _ = False+{-# INLINE punct #-}+punct k = punct' (== k) <?> "'" ++ show k ++ "'"+{-# INLINE defined' #-}+defined' p = fmap L.defined (satisfy p')+  where p' Defined { L.defined = d } = p d+        p' _ = False+{-# INLINE defined #-}+defined k = defined' (== k) <?> "'" ++ show k ++ "'"+{-# INLINE variable #-}+variable = fmap name (satisfy p) <?> "variable"+  where p L.Var{} = True+        p _ = False+{-# INLINE number #-}+number = fmap value (satisfy p) <?> "number"+  where p Number{} = True+        p _ = False+{-# INLINE atom #-}+atom = fmap name (keyword' (const True)) <?> "atom"++-- Combinators.++parens, bracks :: Parser a -> Parser a+{-# INLINE parens #-}+parens p = between (punct LParen) (punct RParen) p+{-# INLINE bracks #-}+bracks p = between (punct LBrack) (punct RBrack) p++-- Build an expression parser from a binary-connective parser+-- and a leaf parser.+binExpr :: Parser a -> Parser (a -> a -> Parser a) -> Parser a+binExpr leaf op = do+  lhs <- leaf+  do { f <- op; rhs <- binExpr leaf op; f lhs rhs } <|> return lhs++-- Parsing clauses.++-- Parse as many things as possible until EOF or an include statement.+section :: (Tag -> Bool) -> Parser (Maybe IncludeStatement)+section included = skipMany (input included) >> (fmap Just include <|> (eof >> return Nothing))++-- A single non-include clause.+input :: (Tag -> Bool) -> Parser ()+input included = declaration Cnf (formulaIn cnf) <|>+                 declaration Fof (formulaIn fof) <|>+                 declaration Tff (\tag -> formulaIn tff tag <|> typeDeclaration)+  where {-# INLINE declaration #-}+        declaration k m = do+          keyword k+          parens $ do+            t <- tag+            punct Comma+            -- Don't bother typechecking clauses that we are not+            -- supposed to include in the problem (seems in the+            -- spirit of TPTP's include mechanism)+            if included t then m t else balancedParens+          punct Dot+          return ()+        formulaIn lang tag = do+          k <- kind+          punct Comma+          form <- lang+          newFormula (k tag form)+        balancedParens = skipMany (parens balancedParens <|> (satisfy p >> return ()))+        p Punct{L.kind=LParen} = False+        p Punct{L.kind=RParen} = False+        p _ = True++-- A TPTP kind.+kind :: Parser (Tag -> Form -> Input Form)+kind = axiom Axiom <|> axiom Hypothesis <|> axiom Definition <|>+       axiom Assumption <|> axiom Lemma <|> axiom Theorem <|>+       general Conjecture Form.Conjecture <|>+       general NegatedConjecture Form.Axiom <|>+       general Question Form.Question+  where axiom t = general t Form.Axiom+        general k kind = keyword k >> return (mk kind)+        mk kind tag form =+          Input { Form.tag = tag,+                  Form.kind = kind,+                  Form.what = form }++-- A formula name.+tag :: Parser Tag+tag = atom <|> fmap (BS.pack . show) number <?> "clause name"++-- An include declaration.+include :: Parser IncludeStatement+include = do+  keyword L.Include+  res <- parens $ do+    name <- atom <?> "quoted filename"+    clauses <- do { punct Comma+                  ; fmap Just (bracks (sepBy1 tag (punct Comma))) } <|> return Nothing+    return (Include name clauses)+  punct Dot+  return res++-- Inserting types, functions and clauses.++newFormula :: Input Form -> Parser ()+newFormula input = do+  MkState p t f v i n <- getState+  putState (MkState (input:p) t f Map.empty i n)+  +newNameFrom :: Named a => Closed () -> a -> (Closed (), Name)+newNameFrom n name = (close_ n' (return ()), open n')+  where n' = close_ n (newName name)++{-# INLINE findType #-}+findType :: BS.ByteString -> Parser Type+findType name = do+  MkState p t f v i n <- getState+  case Map.lookup name t of+    Nothing -> do+      let (n', name') = newNameFrom n name+          ty = Type { tname = name', tmonotone = Infinite, tsize = Infinite }+      putState (MkState p (Map.insert name ty t) f v i n')+      return ty+    Just x -> return x++newFunction :: BS.ByteString -> FunType -> Parser (Name ::: FunType)+newFunction name ty' = do+  f@(_ ::: ty) <- lookupFunction ty' name+  unless (ty == ty') $ do+    fatalError $ "Constant " ++ BS.unpack name +++                 " was declared to have type " ++ prettyShow ty' +++                 " but already has type " ++ prettyShow ty+  return f++{-# INLINE applyFunction #-}+applyFunction :: BS.ByteString -> [Term] -> Type -> Parser Term+applyFunction name args' res = do+  i <- individual+  f@(_ ::: ty) <- lookupFunction (FunType (replicate (length args') i) res) name+  unless (map typ args' == args ty) $ typeError f args'+  return (f :@: args')++{-# NOINLINE typeError #-}+typeError f@(x ::: ty) args' = do+    let plural 1 x y = x +        plural _ x y = y+    fatalError $ "Type mismatch in term '" ++ prettyShow (f :@: args') ++ "': " +++                 "Constant " ++ prettyShow x +++                 if length (args ty) == length args' then+                   " has type " ++ prettyShow ty +++                   " but was applied to " ++ plural (length args') "an argument" "arguments" +++                   " of type " ++ prettyShow (map typ args')+                 else+                   " has arity " ++ show (length args') +++                   " but was applied to " ++ show (length (args ty)) +++                   plural (length (args ty)) " argument" " arguments"++{-# INLINE lookupFunction #-}+lookupFunction :: FunType -> BS.ByteString -> Parser (Name ::: FunType)+lookupFunction def name = do+  MkState p t f v i n <- getState+  case Map.lookup name f of+    Nothing -> do+      let (n', name') = newNameFrom n name+          decl = name' ::: def+      putState (MkState p t (Map.insert name decl f) v i n')+      return decl+    Just f -> return f++-- The type $i (anything whose type is not specified gets this type)+{-# INLINE individual #-}+individual :: Parser Type+individual = do+  MkState _ _ _ _ i _ <- getState+  return i++-- Parsing formulae.++cnf, tff, fof :: Parser Form+cnf =+  let ?binder = fatalError "Can't use quantifiers in CNF"+      ?ctx = Nothing+  in fmap (ForAll . bind) formula+tff =+  let ?binder = varDecl True+      ?ctx = Just Map.empty+  in formula+fof =+  let ?binder = varDecl False+      ?ctx = Just Map.empty+  in formula++-- We cannot always know whether what we are parsing is a formula or a+-- term, since we don't have lookahead. For example, p(x) might be a+-- formula, but in p(x)=y, p(x) is a term.+--+-- To deal with this, we introduce the Thing datatype.+-- A thing is either a term or a formula, or a literal that we don't know+-- if it should be a term or a formula. Instead of a separate formula-parser+-- and term-parser we have a combined thing-parser.+data Thing = Apply !BS.ByteString ![Term]+           | Term !Term+           | Formula !Form++instance Show Thing where+  show (Apply f []) = BS.unpack f+  show (Apply f args) =+    BS.unpack f +++      case args of+        [] -> ""+        args -> prettyShow args+  show (Term t) = prettyShow t+  show (Formula f) = prettyShow f++-- However, often we do know whether we want a formula or a term,+-- and there it's best to use a specialised parser (not least because+-- the error messages are better). For that reason, our parser is+-- parametrised on the type of thing you want to parse. We have two+-- main parsers:+--   * 'term' parses an atomic expression+--   * 'formula' parses an arbitrary expression+-- You can instantiate 'term' for Term, Form or Thing; in each case+-- you get an appropriate parser. You can instantiate 'formula' for+-- Form or Thing.++-- Types for which a term f(...) is a valid literal. These are the types on+-- which you can use 'term'.+class TermLike a where+  -- Convert from a Thing.+  fromThing :: Thing -> Parser a+  -- Parse a variable occurrence as a term on its own, if that's allowed.+  var :: (?ctx :: Maybe (Map BS.ByteString Variable)) => Parser a+  -- A parser for this type.+  parser :: (?binder :: Parser Variable,+             ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser a++instance TermLike Form where+  {-# INLINE fromThing #-}+  fromThing t@(Apply x xs) = fmap (Literal . Pos . Tru) (applyFunction x xs O)+  fromThing (Term _) = mzero+  fromThing (Formula f) = return f+  -- A variable itself is not a valid formula.+  var = mzero+  parser = formula++instance TermLike Term where+  {-# INLINE fromThing #-}+  fromThing t@(Apply x xs) = individual >>= applyFunction x xs+  fromThing (Term t) = return t+  fromThing (Formula _) = mzero+  parser = term+  var = do+    x <- variable+    case ?ctx of+      Nothing -> do+        MkState p t f vs i n <- getState+        case Map.lookup x vs of+          Just v -> return (Var v)+          Nothing -> do+            let (n', name) = newNameFrom n x+                v = name ::: i+            putState (MkState p t f (Map.insert x v vs) i n')+            return (Var v)+      Just ctx ->+        case Map.lookup x ctx of+          Just v -> return (Var v)+          Nothing -> fatalError $ "unbound variable " ++ BS.unpack x++instance TermLike Thing where+  fromThing = return+  var = fmap Term var+  parser = formula++-- Types that can represent formulae. These are the types on which+-- you can use 'formula'.+class TermLike a => FormulaLike a where+  fromFormula :: Form -> a+instance FormulaLike Form where fromFormula = id+instance FormulaLike Thing where fromFormula = Formula++-- An atomic expression.+{-# SPECIALISE term :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser Term #-}+{-# SPECIALISE term :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser Form #-}+{-# SPECIALISE term :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser Thing #-}+term :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable), TermLike a) => Parser a+term = function <|> var <|> parens parser+  where {-# INLINE function #-}+        function = do+          x <- atom+          args <- parens (sepBy1 term (punct Comma)) <|> return []+          fromThing (Apply x args)++literal, unitary, quantified, formula ::+  (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable), FormulaLike a) => Parser a+{-# INLINE literal #-}+literal = true <|> false <|> binary <?> "literal"+  where {-# INLINE true #-}+        true = do { defined DTrue; return (fromFormula (And S.Nil)) }+        {-# INLINE false #-}+        false = do { defined DFalse; return (fromFormula (Or S.Nil)) }+        binary = do+          x <- term :: Parser Thing+          let {-# INLINE f #-}+              f p sign = do+               punct p+               lhs <- fromThing x :: Parser Term+               rhs <- term :: Parser Term+               let form = Literal . sign $ lhs :=: rhs+               when (typ lhs /= typ rhs) $+                 fatalError $ "Type mismatch in equality '" ++ prettyShow form ++ +                              "': left hand side has type " ++ prettyShow (typ lhs) +++                              " but right hand side has type " ++ prettyShow (typ rhs)+               return (fromFormula form)+          f Eq Pos <|> f Neq Neg <|> fromThing x++{-# SPECIALISE unitary :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser Form #-}+{-# SPECIALISE unitary :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser Thing #-}+unitary = negation <|> quantified <|> literal+  where {-# INLINE negation #-}+        negation = do+          punct L.Not+          fmap (fromFormula . Not) (unitary :: Parser Form)++{-# INLINE quantified #-}+quantified = do+  q <- (punct L.ForAll >> return ForAll) <|>+       (punct L.Exists >> return Exists)+  vars <- bracks (sepBy1 ?binder (punct Comma))+  let Just ctx = ?ctx+      ctx' = foldl' (\m v -> Map.insert (Name.base (Name.name v)) v m) ctx vars+  punct Colon+  rest <- let ?ctx = Just ctx' in (unitary :: Parser Form)+  return (fromFormula (q (Bind (NameMap.fromList vars) rest)))++-- A general formula.+{-# SPECIALISE formula :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser Form #-}+{-# SPECIALISE formula :: (?binder :: Parser Variable, ?ctx :: Maybe (Map BS.ByteString Variable)) => Parser Thing #-}+formula = do+  x <- unitary :: Parser Thing+  let binop op t u = op (S.Unit t `S.append` S.Unit u)+      {-# INLINE connective #-}+      connective p op = do+        punct p+        lhs <- fromThing x+        rhs <- formula :: Parser Form+        return (fromFormula (op lhs rhs))+  connective L.And (binop And) <|> connective L.Or (binop Or) <|>+   connective Iff Equiv <|>+   connective L.Implies (Connective Implies) <|>+   connective L.Follows (Connective Follows) <|>+   connective L.Xor (Connective Xor) <|>+   connective L.Nor (Connective Nor) <|>+   connective L.Nand (Connective Nand) <|>+   fromThing x++-- varDecl True: parse a typed variable binding X:a or an untyped one X+-- varDecl False: parse an untyped variable binding X+varDecl :: Bool -> Parser Variable+varDecl typed = do+  x <- variable+  ty <- do { punct Colon;+             when (not typed) $+               fatalError "Used a typed quantification in an untyped formula";+             type_ } <|> individual+  MkState p t f v i n <- getState+  let (n', name) = newNameFrom n x+  putState (MkState p t f v i n')+  return (name ::: ty)++-- Parse a type+type_ :: Parser Type+type_ =+  do { name <- atom; findType name } <|>+  do { defined DI; individual }++-- A little data type to help with parsing types.+data Type_ = TType | Fun [Type] Type | Prod [Type]++prod :: Type_ -> Type_ -> Parser Type_+prod (Prod tys) (Prod tys2) | not (O `elem` tys ++ tys2) = return $ Prod (tys ++ tys2)+prod _ _ = fatalError "invalid type"++arrow :: Type_ -> Type_ -> Parser Type_+arrow (Prod ts) (Prod [x]) = return $ Fun ts x+arrow _ _ = fatalError "invalid type"++leaf :: Parser Type_+leaf = do { defined DTType; return TType } <|>+       do { defined DO; return (Prod [O]) } <|>+       do { ty <- type_; return (Prod [ty]) } <|>+       parens compoundType++compoundType :: Parser Type_+compoundType = leaf `binExpr` (punct Times >> return prod)+                    `binExpr` (punct FunArrow >> return arrow)++typeDeclaration :: Parser ()+typeDeclaration = do+  keyword L.Type+  punct Comma+  let manyParens p = parens (manyParens p) <|> p+  manyParens $ do+    name <- atom+    punct Colon+    res <- compoundType+    case res of+      TType -> do { findType name; return () }+      Fun args res -> do { newFunction name (FunType args res); return () }+      Prod [res] -> do { newFunction name (FunType [] res); return () }+      _ -> fatalError "invalid type"
+ Jukebox/TPTP/FindFile.hs view
@@ -0,0 +1,41 @@+module Jukebox.TPTP.FindFile where++import System.FilePath+import System.Directory(doesFileExist)+import System.Environment+import Control.Applicative+import Control.Exception+import Control.Monad+import Prelude hiding (catch)+import Jukebox.Options+import Data.Traversable(sequenceA)++findFile :: [FilePath] -> FilePath -> IO (Maybe FilePath)+findFile [] file = return Nothing+findFile (path:paths) file = do+  let candidate = path </> file+  exists <- doesFileExist candidate+  if exists then return (Just candidate)+   else findFile paths file++findFileTPTP :: [FilePath] -> FilePath -> IO (Maybe FilePath)+findFileTPTP dirs file = do+  let candidates = [file, "Problems" </> file,+                    "Problems" </> take 3 file </> file]+  fmap msum (mapM (findFile dirs) candidates)++getTPTPDirs :: IO [FilePath]+getTPTPDirs = do { dir <- getEnv "TPTP"; return [dir] } `catch` f+  where f :: IOException -> IO [FilePath]+        f _ = return []++findFileFlags =+  concat <$>+  sequenceA [+    pure ["."],+    flag "root"+      ["Extra directories that will be searched for TPTP input files."]+      []+      argFiles,+    io getTPTPDirs+    ]
+ Jukebox/TPTP/Lexer.x view
@@ -0,0 +1,222 @@+-- -*- mode: haskell -*-++-- Roughly taken from the TPTP syntax reference+{+{-# OPTIONS_GHC -O2 -fno-warn-deprecated-flags #-}+{-# LANGUAGE BangPatterns #-}+module Jukebox.TPTP.Lexer(+  scan,+  Pos(..),+  Token(..),+  Punct(..),+  Defined(..),+  Keyword(..),+  TokenStream(..),+  Contents(..)) where++import qualified Data.ByteString.Char8 as BS+import qualified Data.ByteString.Lazy.Char8 as BSL+import Data.ByteString.Lazy.Internal+import Data.Word+}++$alpha = [a-zA-Z0-9_]+$anything = [. \n]+@quoted = ($printable # [\\']) | \\ $printable+@dquoted = ($printable # [\\\"]) | \\ $printable++tokens :-+-- Comments and whitespace+"%" .* ;+"/*" (($anything # \*)* "*"++      ($anything # [\/\*]))*+     ($anything # \*)* "*"* "*/" ; -- blech!+$white+ ;++-- Keywords.+"thf" { k Thf }+"tff" { k Tff }+"fof" { k Fof }+"cnf" { k Cnf }+"axiom" { k Axiom }+"hypothesis" { k Hypothesis }+"definition" { k Definition }+"assumption" { k Assumption }+"lemma" { k Lemma }+"theorem" { k Theorem }+"conjecture" { k Conjecture }+"negated_conjecture" { k NegatedConjecture }+"question" { k Question }+"plain" { k Plain }+"fi_domain" { k FiDomain }+"fi_hypothesis" { k FiHypothesis }+"fi_predicates" { k FiPredicates }+"type" { k Type }+"unknown" { k Unknown }+"include" { k Include }+-- Defined symbols.+"$true" { d DTrue }+"$false" { d DFalse }+"$equal" { d DEqual }+"$distinct" { d DDistinct }+"$itef" { d DItef }+"$itett" | "$itetf" { d DItet }+"$o" | "$oType" { d DO }+"$i" | "$iType" { d DI }+"$tType" { d DTType }+-- Atoms.+"$"{0,2} [a-z] $alpha* { Atom Normal . copy }+-- Atoms with funny quoted names (here we diverge from the official+-- syntax, which only allows the escape sequences \\ and \' in quoted+-- atoms: we allow \ to be followed by any printable character)+"'"  @quoted+ "'" { Atom Normal . unquote }+-- Vars are easy :)+[A-Z][$alpha]* { Var . copy }+-- Distinct objects, which are double-quoted+\" @dquoted+  \" { DistinctObject . unquote }+-- Integers+[\+\-]? (0 | [1-9][0-9]*)/($anything # $alpha) { Number . readNumber }++-- Operators (FOF)+"("  { p LParen }  ")"   { p RParen }  "["  { p LBrack }   "]"  { p RBrack }+","  { p Comma }   "."   { p Dot }     "|"  { p Or }       "&"  { p And }+"~"  { p Not }     "<=>" { p Iff }     "=>" { p Implies }  "<=" { p Follows }+"<~>"{ p Xor }     "~|"  { p Nor }     "~&" { p Nand }     "="  { p Eq }+"!=" { p Neq }     "!"   { p ForAll }  "?"  { p Exists }   ":=" { p Let }+":-" { p LetTerm }+-- Operators (TFF)+":" { p Colon }    "*"   { p Times }   "+"  { p Plus }     ">"  { p FunArrow }+-- Operators (THF)+"^"  { p Lambda } "@" { p Apply }  "!!" { p ForAllLam }  "??"  { p ExistsLam }+"@+" { p Some }   "@-" { p The }   "<<" { p Subtype }    "-->" { p SequentArrow }+"!>" { p DependentProduct }        "?*" { p DependentSum }++{+data Pos = Pos {-# UNPACK #-} !Word {-# UNPACK #-} !Word deriving Show+data Token = Atom { keyword :: !Keyword, name :: !BS.ByteString }+           | Defined { defined :: !Defined  }+           | Var { name :: !BS.ByteString }+           | DistinctObject { name :: !BS.ByteString }+           | Number { value :: !Integer }+           | Punct { kind :: !Punct }+           | Eof+           | Error++data Keyword = Normal+             | Thf | Tff | Fof | Cnf+             | Axiom | Hypothesis | Definition | Assumption+             | Lemma | Theorem | Conjecture | NegatedConjecture | Question+             | Plain | FiDomain | FiHypothesis | FiPredicates | Type | Unknown+             | Include deriving (Eq, Ord)++instance Show Keyword where+  show x =+    case x of {+      Normal -> "normal";+      Thf -> "thf"; Tff -> "tff"; Fof -> "fof"; Cnf -> "cnf";+      Axiom -> "axiom"; Hypothesis -> "hypothesis"; Definition -> "definition";+      Assumption -> "assumption"; Lemma -> "lemma"; Theorem -> "theorem";+      Conjecture -> "conjecture"; NegatedConjecture -> "negated_conjecture";+      Question -> "question"; Plain -> "plain"; FiDomain -> "fi_domain";+      FiHypothesis -> "fi_hypothesis"; FiPredicates -> "fi_predicates";+      Type -> "type"; Unknown -> "unknown"; Include -> "include" }++-- We only include defined names that need special treatment from the+-- parser here: you can freely make up any other names starting with a+-- '$' and they get turned into Atoms.+data Defined = DTrue | DFalse | DEqual | DDistinct | DItef | DItet+             | DO | DI | DTType deriving (Eq, Ord)++instance Show Defined where+  show x =+    case x of {+      DTrue -> "$true"; DFalse -> "$false"; DEqual -> "$equal";+      DDistinct -> "$distinct"; DItef -> "$itef"; DItet -> "$itet";+      DO -> "$o"; DI -> "$i"; DTType -> "$tType" }++data Punct = LParen | RParen | LBrack | RBrack | Comma | Dot+           | Or | And | Not | Iff | Implies | Follows | Xor | Nor | Nand+           | Eq | Neq | ForAll | Exists | Let | LetTerm -- FOF+           | Colon | Times | Plus | FunArrow -- TFF+           | Lambda | Apply | ForAllLam | ExistsLam+           | DependentProduct | DependentSum | Some | The+           | Subtype | SequentArrow -- THF+             deriving (Eq, Ord)++instance Show Punct where+  show x =+    case x of {+      LParen -> "("; RParen -> ")"; LBrack -> "["; RBrack -> "]";+      Comma -> ","; Dot -> "."; Or -> "|"; And -> "&"; Not -> "~";+      Iff -> "<=>"; Implies -> "=>"; Follows -> "<="; Xor -> "<~>";+      Nor -> "~|"; Nand -> "~&"; Eq -> "="; Neq -> "!="; ForAll -> "!";+      Exists -> "?"; Let -> ":="; Colon -> ":"; Times -> "*"; Plus -> "+";+      FunArrow -> ">"; Lambda -> "^"; Apply -> "@"; ForAllLam -> "!!";+      ExistsLam -> "??"; Some -> "@+"; The -> "@-"; Subtype -> "<<";+      SequentArrow -> "-->"; DependentProduct -> "!>"; DependentSum -> "?*" }++p x = const (Punct x)+k x = Atom x . copy+d x = const (Defined x)++copy :: BS.ByteString -> BS.ByteString+copy = id -- could change to a string interning function later++unquote :: BS.ByteString -> BS.ByteString+unquote x =+  case BSL.toChunks (BSL.tail (unquote' x)) of+    [] -> BS.empty+    [x] -> copy x+    xs -> BS.concat xs++unquote' :: BS.ByteString -> BSL.ByteString+unquote' x | BS.null z = chunk (BS.init y) Empty+           | otherwise = chunk y (BS.index z 1 `BSL.cons'` unquote' (BS.drop 2 z))+           where (y, z) = BS.break (== '\\') x+    +readNumber :: BS.ByteString -> Integer+readNumber x | BS.null r = n+  where Just (n, r) = BS.readInteger x++-- The main scanner function, heavily modified from Alex's posn-bytestring wrapper.++data TokenStream = At {-# UNPACK #-} !Pos !Contents+data Contents = Cons !Token TokenStream++scan xs = go (Input (Pos 1 1) '\n' BS.empty xs)+  where go inp@(Input pos _ x xs) =+          case alexScan inp 0 of+                AlexEOF -> let t = At pos (Cons Eof t) in t+                AlexError _ -> let t = At pos (Cons Error t) in t+                AlexSkip  inp' len -> go inp'+                AlexToken inp' len act ->+                  let token | len <= BS.length x = BS.take len x+                            | otherwise = BS.concat (BSL.toChunks (BSL.take (fromIntegral len) (chunk x xs)))+                  in At pos (act token `Cons` go inp')++data AlexInput = Input {-# UNPACK #-} !Pos {-# UNPACK #-} !Char {-# UNPACK #-} !BS.ByteString BSL.ByteString++alexInputPrevChar :: AlexInput -> Char+alexInputPrevChar (Input p c x xs) = c++{-# INLINE alexGetByte #-}+alexGetByte :: AlexInput -> Maybe (Word8,AlexInput)+alexGetByte i = fmap f (alexGetChar i)+  where f (c, i') = (fromIntegral (ord c), i')+{-# INLINE alexGetChar #-}+alexGetChar :: AlexInput -> Maybe (Char,AlexInput)+alexGetChar (Input p _ x xs) | not (BS.null x) = getCharNonEmpty p x xs+alexGetChar (Input p _ _ (Chunk x xs)) = getCharNonEmpty p x xs+alexGetChar (Input p _ _ Empty) = Nothing+{-# INLINE getCharNonEmpty #-}+getCharNonEmpty p x xs =+  let !c = BS.head x+      !next = Input (advance p c) c (BS.tail x) xs+  in Just (c, next)++{-# INLINE advance #-}+advance :: Pos -> Char -> Pos+advance (Pos l c) '\t' = Pos  l    (c+8 - (c-1) `mod` 8)+advance (Pos l c) '\n' = Pos (l+1) 1+advance (Pos l c) _    = Pos  l    (c+1)+}
+ Jukebox/TPTP/ParseProblem.hs view
@@ -0,0 +1,82 @@+{-# LANGUAGE ScopedTypeVariables #-}+module Jukebox.TPTP.ParseProblem where++import Jukebox.ProgressBar+import Jukebox.TPTP.FindFile+import Jukebox.TPTP.ClauseParser+import Jukebox.TPTP.Lexer hiding (Include, Error)+import Jukebox.TPTP.Parsec+import Jukebox.TPTP.Print+import qualified Jukebox.TPTP.Lexer as L+import Control.Monad.Error+import Jukebox.Form hiding (Pos)+import qualified Data.ByteString.Lazy.Char8 as BSL+import qualified Data.ByteString.Char8 as BS+import Control.Monad.Identity+import Control.Exception+import Prelude hiding (catch)+import Data.List+import Jukebox.Name++parseProblem :: [FilePath] -> FilePath -> IO (Either String (Problem Form))+parseProblem dirs name = withProgressBar $ \pb -> parseProblemWith (findFileTPTP dirs) pb name++parseProblemWith :: (FilePath -> IO (Maybe FilePath)) -> ProgressBar -> FilePath -> IO (Either String (Problem Form))+parseProblemWith findFile progressBar name = runErrorT (fmap finalise (parseFile name Nothing "<command line>" (Pos 0 0) initialState))+  where err file (Pos l c) msg = throwError msg'+          where msg' = "Error at " ++ file ++ " (line " ++ show l ++ ", column " ++ show c ++ "):\n" ++ msg+        liftMaybeIO :: IO (Maybe a) -> FilePath -> Pos -> String -> ErrorT String IO a+        liftMaybeIO m file pos msg = do+          x <- liftIO m+          case x of+            Nothing -> err file pos msg+            Just x -> return x+        liftEitherIO :: IO (Either a b) -> FilePath -> Pos -> (a -> String) -> ErrorT String IO b+        liftEitherIO m file pos msg = do+          x <- liftIO m+          case x of+            Left e -> err file pos (msg e)+            Right x -> return x++        parseFile :: FilePath -> Maybe [Tag] -> FilePath -> Pos ->+                     ParseState -> ErrorT FilePath IO ParseState+        parseFile name clauses file0 pos st = do+          file <- liftMaybeIO (findFile name) file0 pos ("File " ++ name ++ " not found")+          liftIO $ enter progressBar $ "Reading " ++ file+          contents <- liftEitherIO+                        (fmap Right (BSL.readFile file >>= tickOnRead progressBar)+                          `catch` (\(e :: IOException) -> return (Left e)))+                        file (Pos 0 0) show+          let s = UserState st (scan contents)+          fmap userState (parseSections clauses file s)++        parseSections :: Maybe [Tag] -> FilePath -> ParsecState -> ErrorT String IO ParsecState+        parseSections clauses file s =+          let report UserState{userStream = At _ (Cons Eof _)} =+                ["Unexpected end of file"]+              report UserState{userStream = At _ (Cons L.Error _)} =+                ["Lexical error"]+              report UserState{userStream = At _ (Cons t _)} =+                ["Unexpected " ++ show t] in+          case run report (section (included clauses)) s of+            (UserState{userStream=At pos _}, Left e) ->+              err file pos (concat (intersperse "\n" e))+            (s'@UserState{userStream=At _ (Cons Eof _)}, Right Nothing) -> do+              liftIO $ leave progressBar+              return s'+            (UserState{userStream=stream@(At pos _),userState=state},+             Right (Just (Include name clauses'))) -> do+              s' <- parseFile (BS.unpack name) (clauses `merge` clauses') file pos state+              parseSections clauses file (UserState s' stream)++        included :: Maybe [Tag] -> Tag -> Bool+        included Nothing _ = True+        included (Just xs) x = x `elem` xs++        merge :: Maybe [Tag] -> Maybe [Tag] -> Maybe [Tag]+        merge Nothing x = x+        merge x Nothing = x+        merge (Just xs) (Just ys) = Just (xs `intersect` ys)++        finalise :: ParseState -> Problem Form+        finalise (MkState p _ _ _ _ n) = close_ n (return (reverse p))
+ Jukebox/TPTP/ParseSnippet.hs view
@@ -0,0 +1,45 @@+-- Parse little bits of TPTP, e.g. a prelude for a particular tool.++module Jukebox.TPTP.ParseSnippet where++import Jukebox.TPTP.ClauseParser as TPTP.ClauseParser+import Jukebox.TPTP.Parsec as TPTP.Parsec+import Jukebox.TPTP.Lexer+import Jukebox.Name+import Jukebox.Form+import qualified Data.ByteString.Lazy.Char8 as BSL+import qualified Data.ByteString.Char8 as BS+import Control.Applicative+import qualified Jukebox.Map as Map+import Data.List++tff, cnf :: [(String, Type)] -> [(String, Function)] -> String -> NameM Form+tff = form TPTP.ClauseParser.tff+cnf = form TPTP.ClauseParser.cnf++form parser types funs str = supply (form' parser types funs str)++form' parser types funs str cl =+  let state0 = MkState [] (pack types) (pack funs) Map.empty iType cl+      pack xs = Map.fromList [(BS.pack x, y) | (x, y) <- xs]+      unpack m = [(BS.unpack x, y) | (x, y) <- Map.toList m]+      iType =+        case lookup "$i" types of+          Just x -> x+          Nothing -> error "ParseSnippet: use explicit type declarations" in+  case run_ (parser <* eof)+            (UserState state0 (scan (BSL.pack str))) of+    Ok (UserState state (At _ (Cons Eof _))) res ->+      case state of+        MkState _ types' funs' vars _ _+          | pack types /= types' ->+            error $ "ParseSnippet: type implicitly defined: " +++                    show (map snd (unpack types' \\ types))+          | pack funs /= funs' ->+            error $ "ParseSnippet: function implicitly defined: " +++                    show (map snd (unpack funs' \\ funs))+        MkState _ _ _ _ _ cl' ->+          fmap (const res) cl'+    Ok{} -> error "ParseSnippet: lexical error"+    TPTP.Parsec.Error _ msg -> error $ "ParseSnippet: parse error: " ++ msg+    Expected _ exp -> error $ "ParseSnippet: parse error: expected " ++ show exp
+ Jukebox/TPTP/Parsec.hs view
@@ -0,0 +1,174 @@+{-# LANGUAGE RankNTypes, BangPatterns, MultiParamTypeClasses, FunctionalDependencies, FlexibleInstances, UndecidableInstances, TypeFamilies #-}+module Jukebox.TPTP.Parsec where++import Control.Applicative+import Control.Monad+import Data.List++-- Parser type and monad instances++newtype Parsec a b = Parsec+  { runParsec :: forall c.+                 (b -> Reply a c -> a -> Reply a c) -- ok: success+              -> Reply a c -- err: backtracking failure+              -> a -> Reply a c }++type Reply a b = [String] -> Result (Position a) b++data Result a b = Ok a b | Error a String | Expected a [String]++{-# INLINE parseError #-}+parseError :: [String] -> Parsec a b+parseError e = Parsec (\ok err inp exp -> err (e ++ exp))++{-# INLINE fatalError #-}+fatalError :: Stream a c => String -> Parsec a b+fatalError e = Parsec (\ok err inp _ -> Error (position inp) e)++instance Functor (Parsec a) where+  {-# INLINE fmap #-}+  fmap f x = x >>= return . f++instance Monad (Parsec a) where+  {-# INLINE return #-}+  return x = Parsec (\ok err inp exp -> ok x err inp exp)+  {-# INLINE (>>=) #-}+  x >>= f = Parsec (\ok err inp exp  -> runParsec x (\y err inp exp -> runParsec (f y) ok err inp exp) err inp exp)+  {-# INLINE fail #-}+  fail _ = parseError []++instance MonadPlus (Parsec a) where+  {-# INLINE mzero #-}+  mzero = Parsec (\ok err inp exp -> err exp)+  {-# INLINE mplus #-}+  m1 `mplus` m2 = Parsec (\ok err inp exp ->+    runParsec m1 ok (\exp -> runParsec m2 ok err inp exp) inp exp)++instance Applicative (Parsec a) where+  {-# INLINE pure #-}+  pure = return+  {-# INLINE (<*>) #-}+  f <*> x = do { f' <- f; x' <- x; return (f' x') }+  {-# INLINE (*>) #-}+  (*>) = (>>)+  {-# INLINE (<*) #-}+  x <* y = do+    x' <- x+    y+    return x'++instance Alternative (Parsec a) where+  {-# INLINE empty #-}+  empty = mzero+  {-# INLINE (<|>) #-}+  (<|>) = mplus+  {-# INLINE some #-}+  some p = do { x <- nonempty p; xs <- many p; return (x:xs) }+  {-# INLINE many #-}+  many p = p' where p' = liftM2 (:) (nonempty p) p' <|> return []+  -- Stack overflow-avoiding version:+  -- many p = liftM reverse (p' [])+  --   where p' !xs = do { x <- nonempty p; p' (x:xs) } `mplus` return xs++-- Basic combinators++{-# INLINE nonempty #-}+nonempty :: Parsec a b -> Parsec a b+nonempty p = p++{-# INLINE skipSome #-}+skipSome :: Parsec a b -> Parsec a ()+skipSome p = p' where p' = nonempty p >> (p' `mplus` return ())++{-# INLINE skipMany #-}+skipMany :: Parsec a b -> Parsec a ()+skipMany p = p' where p' = (nonempty p >> p') `mplus` return ()++{-# INLINE (<?>) #-}+infix 0 <?>+(<?>) :: Parsec a b -> String -> Parsec a b+p <?> text = Parsec (\ok err inp exp ->+  runParsec p ok err inp (text:exp))++{-# INLINE between #-}+between :: Parsec a b -> Parsec a c -> Parsec a d -> Parsec a d+between p q r = p *> r <* q++{-# INLINE sepBy1 #-}+sepBy1 :: Parsec a b -> Parsec a c -> Parsec a [b]+sepBy1 it sep = liftM2 (:) it (many (sep >> it))++-- Running the parser++run_ :: Stream a c => Parsec a b -> a -> Result (Position a) b+run_ p x = runParsec p ok err x []+  where ok x _ inp _ = Ok (position inp) x+        err exp = Expected (position x) (reverse exp)++run :: Stream a c => (Position a -> [String]) -> Parsec a b -> a -> (Position a, Either [String] b)+run report p ts =+  case run_ p ts of+    Ok ts' x -> (ts', Right x)+    Error ts' e -> (ts', Left [e])+    Expected ts' e -> (ts', Left (expected (report ts') e))++-- Reporting errors++expected :: [String] -> [String] -> [String]+expected unexpected [] = unexpected ++ ["Unknown error"]+expected unexpected expected =+  unexpected ++ [ "Expected " ++ list expected ]+  where list [exp] = exp+        list exp = intercalate ", " (init exp) ++ " or " ++ last exp++-- Token streams++class Stream a b | a -> b where+  primToken :: a -> (a -> b -> c) -> c -> (String -> c) -> c+  type Position a+  position :: a -> Position a++{-# INLINE next #-}+next :: Stream a b => Parsec a b+next = Parsec (\ok err inp exp ->+  primToken inp (\inp' x -> ok x err inp' exp) (err exp) (Error (position inp)))++{-# INLINE cut #-}+cut :: Stream a b => Parsec a ()+cut = Parsec (\ok err inp exp -> ok () (Expected (position inp)) inp [])++{-# INLINE cut' #-}+cut' :: Stream a b => Parsec a c -> Parsec a c+cut' p = Parsec (\ok err inp exp -> runParsec p (\x _ inp' _ -> ok x err inp' []) err inp exp)++{-# INLINE satisfy #-}+satisfy :: Stream a b => (b -> Bool) -> Parsec a b+satisfy p = do+  t <- next+  guard (p t)+  cut+  return t++{-# INLINE eof #-}+eof :: Stream a b => Parsec a ()+eof = Parsec (\ok err inp exp ->+  primToken inp (\_ _ -> err ("end of file":exp)) (ok () err inp exp) (Error (position inp)))++-- User state++data UserState state stream = UserState { userState :: !state, userStream :: !stream }++instance Stream a b => Stream (UserState state a) b where+  {-# INLINE primToken #-}+  primToken (UserState state stream) ok err =+    primToken stream (ok . UserState state) err+  type Position (UserState state a) = UserState state a+  position = id++{-# INLINE getState #-}+getState :: Parsec (UserState state a) state+getState = Parsec (\ok err inp@UserState{userState = state} exp -> ok state err inp exp)++{-# INLINE putState #-}+putState :: state -> Parsec (UserState state a) ()+putState state = Parsec (\ok err inp@UserState{userStream = stream} exp -> ok () err (UserState state stream) exp)
+ Jukebox/TPTP/Print.hs view
@@ -0,0 +1,200 @@+-- Pretty-printing of formulae. WARNING: icky code inside!+{-# LANGUAGE FlexibleContexts, TypeSynonymInstances, TypeOperators, FlexibleInstances #-}+module Jukebox.TPTP.Print(prettyShow, chattyShow, prettyFormula, prettyProblem, Level(..), Pretty)+       where++import qualified Data.ByteString.Char8 as BS+import Data.Char+import Text.PrettyPrint.HughesPJ+import qualified Jukebox.TPTP.Lexer as L+import Jukebox.Form+import Data.List+import qualified Jukebox.Map as Map+import qualified Jukebox.Seq as S+import qualified Jukebox.NameMap as NameMap+import Jukebox.NameMap(NameMap)+import Jukebox.Name++data Level = Normal | Chatty deriving (Eq, Ord)++class Pretty a where+  pPrint :: Int -> Level -> (Name -> BS.ByteString) -> a -> Doc++instance Pretty Name where+  pPrint _ _ env x = text (BS.unpack (env x))++pPrintSymbol :: Bool -> Int -> Level -> (Name -> BS.ByteString) -> Name ::: Type -> Doc+pPrintSymbol full prec lev env (x ::: t)+  | full || lev >= Chatty = pPrint prec lev env x <> colon <> pPrint prec lev env t+  | otherwise = pPrint prec lev env x++pPrintBinding prec lev env (x ::: t) =+  pPrintSymbol (name t /= nameI) prec lev env (x ::: typ t)++pPrintUse prec lev env (x ::: t) =+  pPrintSymbol False prec lev env (x ::: typ t)++instance Pretty Type where+  pPrint prec lev env O = pPrint prec lev env nameO+  pPrint prec lev env t+    | lev >= Chatty = +      hcat . punctuate (text "/") $+        [text (BS.unpack (escapeAtom (env (tname t))))] +++        [size (tmonotone t) | tmonotone t /= Infinite || tsize t /= Infinite] +++        [size (tsize t) | tsize t /= Infinite]+    | otherwise = text (BS.unpack (escapeAtom (env (tname t))))+    where size Infinite = empty+          size (Finite n) = int n++instance Show Type where+  show = chattyShow++instance Show L.Token where+  show L.Atom{L.name = x} = BS.unpack (escapeAtom x)+  show L.Defined{L.defined = x} = show x+  show L.Var{L.name = x} = BS.unpack x+  show L.DistinctObject{L.name = x} = BS.unpack (quote '"' x)+  show L.Number{L.value = x} = show x+  show L.Punct{L.kind = x} = show x+  show L.Eof = "end of file"+  show L.Error = "lexical error"++escapeAtom :: BS.ByteString -> BS.ByteString+escapeAtom s | not (BS.null s') && isLower (BS.head s') && BS.all isNormal s' = s+             | otherwise = quote '\'' s+  where isNormal c = isAlphaNum c || c == '_'+        s' = BS.dropWhile (== '$') s++quote :: Char -> BS.ByteString -> BS.ByteString+quote c s = BS.concat [BS.pack [c], BS.concatMap escape s, BS.pack [c]]+  where escape c' | c == c' = BS.pack ['\\', c]+        escape '\\' = BS.pack "\\\\"+        escape c = BS.singleton c++instance Pretty FunType where+  pPrint prec lev env FunType{args = args, res = res} =+    case args of+      [] -> pPrint prec lev env res+      args -> pPrint prec lev env args <+> text ">" <+>+              pPrint prec lev env res++instance Show FunType where+  show = chattyShow++instance Pretty [Type] where+  pPrint prec lev env [arg] = pPrint prec lev env arg+  pPrint prec lev env args =+    parens (hsep (intersperse (text "*")+                  (map (pPrint 0 lev env) args)))++prettyProblem :: (Symbolic a, Pretty a) => String -> Level -> Problem a -> Doc+prettyProblem family l prob = vcat (map typeDecl (S.unique (types prob')) +++                                    map funcDecl (S.unique (functions prob')) +++                                    map (prettyInput family l env) prob')+    where typeDecl ty | name ty `elem` open stdNames || isFof prob' = empty+                      | otherwise = typeClause ty (text "$tType")+          funcDecl (f ::: ty) | isFof prob' = empty+                              | otherwise = typeClause f (pPrint 0 l (escapeAtom . env) ty)+          typeClause name ty = prettyClause "tff" "type" "type"+                                      (pPrint 0 l (escapeAtom . env) name <+> colon <+> ty)+          env = uniquify (S.unique (names prob'))+          prob' = open prob++prettyClause :: String -> String -> String -> Doc -> Doc+prettyClause family name kind rest =+  text family <> parens (sep [text name <> comma <+> text kind <> comma, rest]) <> text "."++instance (Symbolic a, Pretty a) => Show (Problem a) where+  show = render . prettyProblem "tff" Chatty++prettyInput :: Pretty a => String -> Level -> (Name -> BS.ByteString) -> Input a -> Doc+prettyInput family l env i = prettyClause family (BS.unpack (tag i)) (show (kind i)) (pPrint 0 l env (what i))++instance Pretty a => Pretty (Input a) where+  pPrint _ l env = prettyInput "tff" l env++instance Pretty a => Show (Input a) where+  show = chattyShow++instance Pretty Term where+  pPrint _ l env (Var v) = pPrintUse 0 l env v+  pPrint _ l env (f :@: []) = pPrintUse 0 l (escapeAtom . env) f+  pPrint _ l env (f :@: ts) = pPrintUse 0 l (escapeAtom . env) f <> pPrint 0 l env ts+  +instance Pretty [Term] where+  pPrint _ l env ts = parens (sep (punctuate comma (map (pPrint 0 l env) ts)))++instance Show Term where+  show = chattyShow++instance Pretty Atomic where+  pPrint _ l env (t :=: u) = pPrint 0 l env t <> text "=" <> pPrint 0 l env u+  pPrint _ l env (Tru t) = pPrint 0 l env t++instance Show Atomic where+  show = chattyShow++instance Pretty Clause where+  pPrint p l env c@(Clause (Bind vs ts))+    | and [ name (typ v) == nameI | v <- NameMap.toList vs ] =+       prettyConnective l p env "$false" "|" (map Literal ts)+    | otherwise =+       pPrint p l env (toForm c)++instance Show Clause where+  show = chattyShow++instance Pretty Form where+  -- We use two precedences, the lowest for binary connectives+  -- and the highest for everything else.+  pPrint p l env (Literal (Pos (t :=: u))) =+    pPrint 0 l env t <> text "=" <> pPrint 0 l env u+  pPrint p l env (Literal (Neg (t :=: u))) =+    pPrint 0 l env t <> text "!=" <> pPrint 0 l env u+  pPrint p l env (Literal (Pos t)) = pPrint p l env t+  pPrint p l env (Literal (Neg t)) = pPrint p l env (Not (Literal (Pos t)))+  pPrint p l env (Not f) = text "~" <> pPrint 1 l env f+  pPrint p l env (And ts) = prettyConnective l p env "$true" "&" (S.toList ts)+  pPrint p l env (Or ts) = prettyConnective l p env "$false" "|" (S.toList ts)+  pPrint p l env (Equiv t u) = prettyConnective l p env undefined "<=>" [t, u]+  pPrint p l env (ForAll (Bind vs f)) = prettyQuant l env "!" vs f+  pPrint p l env (Exists (Bind vs f)) = prettyQuant l env "?" vs f+  pPrint p l env (Connective c t u) = prettyConnective l p env (error "pPrint: Connective") (show c) [t, u]++instance Show Form where+  show = chattyShow++instance Show Connective where+  show Implies = "=>"+  show Follows = "<="+  show Xor = "<~>"+  show Nor = "~|"+  show Nand = "~&"++prettyConnective l p env ident op [] = text ident+prettyConnective l p env ident op [x] = pPrint p l env x+prettyConnective l p env ident op (x:xs) =+  prettyParen (p > 0) $+    sep (ppr x:[ nest 2 (text op <+> ppr x) | x <- xs ])+      where ppr = pPrint 1 l env+            +prettyParen False = id+prettyParen True = parens++prettyQuant l env q vs f | Map.null vs = pPrint 1 l env f+prettyQuant l env q vs f =+  sep [text q <> brackets (sep (punctuate comma (map (pPrintBinding 0 l env) (Map.elems vs)))) <> colon,+       nest 2 (pPrint 1 l env f)]++instance Show Kind where+  show Axiom = "axiom"+  show Conjecture = "conjecture"+  show Question = "question"++prettyShow, chattyShow :: Pretty a => a -> String+prettyShow = render . pPrint 0 Normal base+chattyShow = render . pPrint 0 Chatty (BS.pack . show)++prettyFormula :: (Pretty a, Symbolic a) => a -> String+prettyFormula prob = render . pPrint 0 Normal env $ prob+  where env = uniquify (S.unique (names prob))
+ Jukebox/Toolbox.hs view
@@ -0,0 +1,251 @@+module Jukebox.Toolbox where++import Jukebox.Options+import qualified Data.ByteString.Char8 as BS+import qualified Data.ByteString.Lazy.Char8 as BSL+import Jukebox.Form+import Jukebox.Name+import qualified Jukebox.NameMap as NameMap+import Jukebox.TPTP.Print+import Control.Monad+import Control.Applicative+import Jukebox.Clausify+import Jukebox.TPTP.ParseProblem+import Jukebox.Monotonox.Monotonicity hiding (guards)+import Jukebox.Monotonox.ToFOF+import System.Exit+import System.IO+import Jukebox.TPTP.FindFile+import Text.PrettyPrint.HughesPJ+import Jukebox.GuessModel+import Jukebox.InferTypes+import Jukebox.TPTP.Parsec hiding (Error)+import qualified Jukebox.TPTP.Parsec as Parser+import Jukebox.TPTP.ClauseParser+import Jukebox.TPTP.Lexer hiding (Error, name, Normal)+import qualified Jukebox.TPTP.Lexer as Lexer++data GlobalFlags =+  GlobalFlags {+    quiet :: Bool }+  deriving Show++globalFlags :: OptionParser GlobalFlags+globalFlags =+  inGroup "Global options" $+  GlobalFlags <$>+    bool "quiet"+      ["Do not print any informational output.",+       "Default: (off)"]++(=>>=) :: (Monad m, Applicative f) => f (a -> m b) -> f (b -> m c) -> f (a -> m c)+f =>>= g = (>=>) <$> f <*> g+infixl 1 =>>= -- same as >=>++(=>>) :: (Monad m, Applicative f) => f (m a) -> f (m b) -> f (m b)+x =>> y = (>>) <$> x <*> y+infixl 1 =>> -- same as >>++greetingBox :: Tool -> OptionParser (IO ())+greetingBox t = greetingBoxIO t <$> globalFlags++greetingBoxIO :: Tool -> GlobalFlags -> IO ()+greetingBoxIO t GlobalFlags{quiet = quiet} =+  unless quiet $ hPutStrLn stderr (greeting t)++allFilesBox :: OptionParser ((FilePath -> IO ()) -> IO ())+allFilesBox = flip allFiles <$> filenames++allFiles :: (FilePath -> IO ()) -> [FilePath] -> IO ()+allFiles _ [] = do+  hPutStrLn stderr "No input files specified! Try --help."+  exitWith (ExitFailure 1)+allFiles f xs = mapM_ f xs++parseProblemBox :: OptionParser (FilePath -> IO (Problem Form))+parseProblemBox = parseProblemIO <$> findFileFlags++parseProblemIO :: [FilePath] -> FilePath -> IO (Problem Form)+parseProblemIO dirs f = do+  r <- parseProblem dirs f+  case r of+    Left err -> do+      hPutStrLn stderr err+      exitWith (ExitFailure 1)+    Right x -> return x++withString :: (Symbolic a, Pretty a) => String -> (Problem Form -> IO (Problem a)) -> String -> IO String+withString kind f x = do+  let errorAt (UserState _ (At (Lexer.Pos l c) _)) err =+        error $ "At line " ++ show l ++ ", column " ++ show c ++ ": " ++ err+  case run_ (section (const True) <* eof)+            (UserState initialState (scan (BSL.pack x))) of+    Ok (UserState (MkState p _ _ _ _ n) (At _ (Cons Eof _))) Nothing -> do+      let prob = close_ n (return (reverse p))+      res <- f prob+      return (render (prettyProblem kind Normal res))+    Ok s@(UserState _ (At _ (Cons Eof _))) (Just _) ->+      errorAt s "can't handle include files"+    Ok s _ ->+      errorAt s "lexical error"+    Parser.Error s msg -> errorAt s $ "parse error: " ++ msg+    Expected s exp -> errorAt s $ "parse error: expected " ++ show exp++encodeString :: String -> IO String+encodeString = withString "fof" f+  where+    f = toFofIO globals (return . clausify clFlags) (tags False)+    globals = GlobalFlags { quiet = True }+    clFlags = ClausifyFlags { splitting = False }++clausifyBox :: OptionParser (Problem Form -> IO CNF)+clausifyBox = clausifyIO <$> globalFlags <*> clausifyFlags++clausifyIO :: GlobalFlags -> ClausifyFlags -> Problem Form -> IO CNF+clausifyIO globals flags prob = do+  unless (quiet globals) $ hPutStrLn stderr "Clausifying problem..."+  return $! clausify flags prob++toFofBox :: OptionParser (Problem Form -> IO (Problem Form))+toFofBox = toFofIO <$> globalFlags <*> clausifyBox <*> schemeBox++oneConjectureBox :: OptionParser (CNF -> IO (Problem Clause))+oneConjectureBox = pure oneConjecture++oneConjecture :: CNF -> IO (Problem Clause)+oneConjecture cnf = closedIO (close cnf f)+  where f (Obligs cs [cs'] _ _) = return (return (cs ++ cs'))+        f _ = return $ do+          hPutStrLn stderr "Error: more than one conjecture found in input problem"+          exitWith (ExitFailure 1)++toFofIO :: GlobalFlags -> (Problem Form -> IO CNF) -> Scheme -> Problem Form -> IO (Problem Form)+toFofIO globals clausify scheme f = do+  cs <- clausify f >>= oneConjecture+  unless (quiet globals) $ hPutStrLn stderr "Monotonicity analysis..."+  m <- monotone (map what (open cs))+  let isMonotone ty =+        case NameMap.lookup (name ty) m of+          Just (_ ::: Nothing) -> False+          Just (_ ::: Just _) -> True+          Nothing  -> True -- can happen if clausifier removed all clauses about a type+  return (translate scheme isMonotone f)++schemeBox :: OptionParser Scheme+schemeBox =+  choose <$>+  flag "encoding"+    ["Which type encoding to use.",+     "Default: --encoding guards"]+    "guards"+    (argOption ["guards", "tags"])+  <*> tagsFlags+  where choose "guards" flags = guards+        choose "tags" flags = tags flags++monotonicityBox :: OptionParser (Problem Clause -> IO String)+monotonicityBox = monotonicity <$> globalFlags++monotonicity :: GlobalFlags -> Problem Clause -> IO String+monotonicity globals cs = do+  unless (quiet globals) $ hPutStrLn stderr "Monotonicity analysis..."+  m <- monotone (map what (open cs))+  let info (ty ::: Nothing) = [BS.unpack (baseName ty) ++ ": not monotone"]+      info (ty ::: Just m) =+        [prettyShow ty ++ ": monotone"] +++        concat+        [ case ext of+             CopyExtend -> []+             TrueExtend -> ["  " ++ BS.unpack (baseName p) ++ " true-extended"]+             FalseExtend -> ["  " ++ BS.unpack (baseName p) ++ " false-extended"]+        | p ::: ext <- NameMap.toList m ]++  return (unlines (concat (map info (NameMap.toList m))))++annotateMonotonicityBox :: OptionParser (Problem Clause -> IO (Problem Clause))+annotateMonotonicityBox = (\globals x -> do+  unless (quiet globals) $ putStrLn "Monotonicity analysis..."+  annotateMonotonicity x) <$> globalFlags++prettyPrintBox :: (Symbolic a, Pretty a) => OptionParser (Problem a -> IO ())+prettyPrintBox = prettyFormIO <$> globalFlags <*> writeFileBox++prettyFormIO :: (Symbolic a, Pretty a) => GlobalFlags -> (String -> IO ()) -> Problem a -> IO ()+prettyFormIO globals write prob+  | isFof (open prob) = prettyPrintIO globals "fof" write prob+  | otherwise = prettyPrintIO globals "tff" write prob++prettyClauseBox :: OptionParser (Problem Clause -> IO ())+prettyClauseBox = f <$> globalFlags <*> writeFileBox+  where+    f globals write cs+      | isFof (open cs) = prettyPrintIO globals "cnf" write cs+      | otherwise = prettyPrintIO globals "tff" write (fmap (map (fmap toForm)) cs)++prettyPrintIO :: (Symbolic a, Pretty a) => GlobalFlags -> String -> (String -> IO ()) -> Problem a -> IO ()+prettyPrintIO globals kind write prob = do+  unless (quiet globals) $ hPutStrLn stderr "Writing output..."+  write (render (prettyProblem kind Normal prob) ++ "\n")++writeFileBox :: OptionParser (String -> IO ())+writeFileBox =+  flag "output"+    ["Where to write the output.",+     "Default: stdout"]+    putStr+    (fmap myWriteFile argFile)+  where myWriteFile "/dev/null" _ = return ()+        myWriteFile file contents = writeFile file contents++guessModelBox :: OptionParser (Problem Form -> IO (Problem Form))+guessModelBox = guessModelIO <$> expansive <*> universe+  where universe = choose <$>+                   flag "universe"+                   ["Which universe to find the model in.",+                    "Default: peano"]+                   "peano"+                   (argOption ["peano", "trees"])+        choose "peano" = Peano+        choose "trees" = Trees+        expansive = manyFlags "expansive"+                    ["Allow a function to construct 'new' terms in its base base."]+                    (arg "<function>" "expected a function name" Just)++guessModelIO :: [String] -> Universe -> Problem Form -> IO (Problem Form)+guessModelIO expansive univ prob = return (guessModel expansive univ prob)++allObligsBox :: OptionParser ((Problem Clause -> IO Answer) -> Closed Obligs -> IO ())+allObligsBox = pure allObligsIO++allObligsIO solve obligs = loop 1 conjectures+  where Obligs { axioms = axioms, conjectures = conjectures,+                 satisfiable = satisfiable, unsatisfiable = unsatisfiable } =+          open obligs++        loop _ [] = result unsatisfiable+        loop i (c:cs) = do+          when multi $ putStrLn $ "Part " ++ part i+          answer <- solve (close_ obligs (return (axioms ++ c)))+          when multi $ putStrLn $ "+++ PARTIAL (" ++ part i ++ "): " ++ show answer+          case answer of+            Satisfiable -> result satisfiable+            Unsatisfiable -> loop (i+1) cs+            NoAnswer x -> result (show x)+        multi = length conjectures > 1+        part i = show i ++ "/" ++ show (length conjectures)+        result x = putStrLn ("+++ RESULT: " ++ x)++inferBox :: OptionParser (Problem Clause -> IO (Problem Clause, Type -> Type))+inferBox = (\globals prob -> do+  unless (quiet globals) $ putStrLn "Inferring types..."+  let prob' = close prob inferTypes+  return (fmap fst prob', snd (open prob'))) <$> globalFlags++printInferredBox :: OptionParser ((Problem Clause, Type -> Type) -> IO (Problem Clause))+printInferredBox = pure $ \(prob, rep) -> do+  forM_ (types (open prob)) $ \ty ->+    putStrLn $ show ty ++ " => " ++ show (rep ty)+  return prob++equinoxBox :: OptionParser (Problem Clause -> IO Answer)+equinoxBox = pure (\f -> return (NoAnswer GaveUp)) -- A highly sophisticated proof method. We are sure to win CASC! :)
+ Jukebox/UnionFind.hs view
@@ -0,0 +1,76 @@+module Jukebox.UnionFind(UF, Replacement((:>)), (=:=), rep, evalUF, execUF, runUF, S, isRep, initial, reps) where++import Prelude hiding (min)+import Control.Monad.State.Strict+import Data.Hashable+import Jukebox.Map(Map)+import qualified Jukebox.Map as Map++type S a = Map a a+type UF a = State (S a)+data Replacement a = a :> a++runUF :: S a -> UF a b -> (b, S a)+runUF s m = runState m s++evalUF :: S a -> UF a b -> b+evalUF s m = fst (runUF s m)++execUF :: S a -> UF a b -> S a+execUF s m = snd (runUF s m)++initial :: S a+initial = Map.empty++(=:=) :: (Hashable a, Ord a) => a -> a -> UF a (Maybe (Replacement a))+s =:= t | s == t = return Nothing+s =:= t = do+  rs <- rep s+  rt <- rep t+  case rs `compare` rt of+    EQ -> return Nothing+    LT -> do+      modify (Map.insert rt rs)+      return (Just (rt :> rs))+    GT -> do+      modify (Map.insert rs rt)+      return (Just (rs :> rt))++{-# INLINE rep #-}+rep :: (Hashable a, Ord a) => a -> UF a a+rep s = do+  m <- get+  case Map.lookup s m of+    Nothing -> return s+    Just t -> do+      u <- rep t+      when (t /= u) $ modify (Map.insert s u)+      return u+      -- case Map.lookup t m of+      --   Nothing -> return t+      --   Just u -> do+      --     v <- rep' t u+      --     modify (Map.insert s v)+      --     return v++reps :: (Hashable a, Ord a) => UF a (a -> a)+reps = do+  s <- get+  return (\x -> evalUF s (rep x))++-- rep' :: (Hashable a, Ord a) => a -> a -> UF a a+-- rep' s t = do+--   m <- get+--   case Map.lookup t m of+--     Nothing -> do+--       modify (Map.insert s t)+--       return t+--     Just u -> do+--       v <- rep' t u+--       modify (Map.insert s v)+--       return v++isRep :: (Hashable a, Ord a) => a -> UF a Bool+isRep t = do+  t' <- rep t+  return (t == t')
+ Jukebox/Utils.hs view
@@ -0,0 +1,38 @@+{-# LANGUAGE TupleSections #-}+module Jukebox.Utils where++import Data.List+import qualified Jukebox.Seq as Seq+import qualified Data.HashSet as Set+import Data.Hashable+import System.Process+import qualified Data.ByteString.Char8 as BS+import System.IO+import System.Exit+import Control.Applicative+import Control.Concurrent++usort :: Ord a => [a] -> [a]+usort = map head . group . sort++merge :: Ord a => [a] -> [a] -> [a]+merge [] ys = ys+merge xs [] = xs+merge (x:xs) (y:ys) =+  case x `compare` y of+    LT -> x:merge xs (y:ys)+    EQ -> x:merge xs ys+    GT -> y:merge (x:xs) ys++nub :: (Seq.List f, Ord a, Hashable a) => f a -> [a]+nub = Set.toList . Set.fromList . Seq.toList++popen :: FilePath -> [String] -> BS.ByteString -> IO (ExitCode, BS.ByteString)+popen prog args inp = do+  (stdin, stdout, stderr_, pid) <- runInteractiveProcess prog args Nothing Nothing+  forkIO $ hGetContents stderr_ >>= hPutStr stderr+  BS.hPutStr stdin inp+  hFlush stdin+  hClose stdin+  code <- waitForProcess pid+  fmap (code,) (BS.hGetContents stdout) <* hClose stdout
+ LICENSE view
@@ -0,0 +1,27 @@+Copyright (c) 2009-2014, Nick Smallbone, Koen Claessen, Ann Lillieström++All rights reserved.++Redistribution and use in source and binary forms, with or without+modification, are permitted provided that the following conditions are met:++- Redistributions of source code must retain the above copyright notice,+  this list of conditions and the following disclaimer.+- Redistributions in binary form must reproduce the above copyright+  notice, this list of conditions and the following disclaimer in the+  documentation and/or other materials provided with the distribution.+- Neither the names of the copyright owners nor the names of the+  contributors may be used to endorse or promote products derived+  from this software without specific prior written permission.++THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS+"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT+LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR+A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT+OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,+SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT+LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE+OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ Main.hs view
@@ -0,0 +1,87 @@+module Main where++import Control.Monad+import Jukebox.Options+import Control.Applicative+import Data.Monoid+import Jukebox.Toolbox++tools = mconcat [fof, cnf, monotonox, guessmodel]++fof = tool info pipeline+  where+    info = Tool "fof" "Jukebox TFF-to-FOF translator" "1"+                "Translate from TFF (typed) to FOF (untyped)"+    pipeline =+      greetingBox info =>>+      allFilesBox <*>+        (parseProblemBox =>>=+         toFofBox =>>=+         prettyPrintBox)++monotonox = tool info pipeline+  where+    info = Tool "monotonox" "Monotonox" "1"+                "Monotonicity analysis"+    pipeline =+      greetingBox info =>>+      allFilesBox <*>+        (parseProblemBox =>>=+         clausifyBox =>>=+         oneConjectureBox =>>=+         monotonicityBox =>>=+         writeFileBox)++cnf = tool info pipeline+  where+    info = Tool "cnf" "Jukebox clausifier" "1"+                "Clausify a problem"+    pipeline =+      greetingBox info =>>+      allFilesBox <*>+        (parseProblemBox =>>=+         clausifyBox =>>=+         oneConjectureBox =>>=+         prettyClauseBox)++justparser = tool info pipeline+  where+    info = Tool "parser" "Parser" "1"+                "Just parse the problem"+    pipeline =+      greetingBox info =>>+      allFilesBox <*>+        (parseProblemBox =>>=+         clausifyBox =>>=+         oneConjectureBox =>>=+         inferBox =>>=+         printInferredBox =>>=+         annotateMonotonicityBox =>>=+         prettyPrintBox)++guessmodel = tool info pipeline+  where+    info = Tool "guessmodel" "Infinite model guesser" "1"+                "Guess an infinite model"+    pipeline =+      greetingBox info =>>+      allFilesBox <*>+        (parseProblemBox =>>=+         guessModelBox =>>=+         prettyPrintBox)++equinox = tool info pipeline+  where+    info = Tool "equinox" "Equinox" "7"+                "Prove a first-order problem"+    pipeline =+      greetingBox info =>>+      allFilesBox <*>+        (parseProblemBox =>>=+         clausifyBox =>>=+         allObligsBox <*> equinoxBox)++jukebox = Tool "jukebox" "Jukebox" "1"+               "A first-order logic toolbox"++main = join (parseCommandLine jukebox tools)
+ Setup.lhs view
@@ -0,0 +1,8 @@+#!/usr/bin/env runghc++> module Main where++> import Distribution.Simple++> main :: IO ()+> main = defaultMain
+ dist/build/Jukebox/TPTP/Lexer.hs view
@@ -0,0 +1,520 @@+{-# LANGUAGE CPP,MagicHash #-}+{-# LINE 4 "Jukebox/TPTP/Lexer.x" #-}++{-# OPTIONS_GHC -O2 -fno-warn-deprecated-flags #-}+{-# LANGUAGE BangPatterns #-}+module Jukebox.TPTP.Lexer(+  scan,+  Pos(..),+  Token(..),+  Punct(..),+  Defined(..),+  Keyword(..),+  TokenStream(..),+  Contents(..)) where++import qualified Data.ByteString.Char8 as BS+import qualified Data.ByteString.Lazy.Char8 as BSL+import Data.ByteString.Lazy.Internal+import Data.Word++#if __GLASGOW_HASKELL__ >= 603+#include "ghcconfig.h"+#elif defined(__GLASGOW_HASKELL__)+#include "config.h"+#endif+#if __GLASGOW_HASKELL__ >= 503+import Data.Array+import Data.Char (ord)+import Data.Array.Base (unsafeAt)+#else+import Array+import Char (ord)+#endif+#if __GLASGOW_HASKELL__ >= 503+import GHC.Exts+#else+import GlaExts+#endif+alex_base :: AlexAddr+alex_base = AlexA# 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:: AlexAddr+alex_table = AlexA# 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0\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00\x00"#++alex_check :: AlexAddr+alex_check = AlexA# 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f\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"#++alex_deflt :: AlexAddr+alex_deflt = AlexA# "\xff\xff\x2e\x00\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\x16\x00\x16\x00\x18\x00\x18\x00\x1a\x00\x1a\x00\x1f\x00\x1f\x00\x28\x00\x28\x00\x2d\x00\x2d\x00\x2e\x00\xff\xff\x2e\x00\x2e\x00\x30\x00\x2f\x00\x2f\x00\x30\x00\x36\x00\xff\xff\xff\xff\x36\x00\x36\x00\x04\x00\xff\xff\xff\xff\x04\x00\x04\x00\x2e\x00\x3d\x00\x3c\x00\x3c\x00\x3d\x00\xff\xff\xff\xff\xff\xff\xff\xff\x3f\x00\x3e\x00\xff\xff\x3f\x00\x3e\x00\x3f\x00\x3e\x00\xff\xff\x3f\x00\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff\xff"#++alex_accept = listArray (0::Int,287) [AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccNone,AlexAccSkip,AlexAccSkip,AlexAccSkip,AlexAccSkip,AlexAcc (alex_action_3),AlexAcc (alex_action_4),AlexAcc (alex_action_5),AlexAcc (alex_action_6),AlexAcc (alex_action_7),AlexAcc (alex_action_8),AlexAcc (alex_action_9),AlexAcc (alex_action_10),AlexAcc (alex_action_11),AlexAcc (alex_action_12),AlexAcc (alex_action_13),AlexAcc (alex_action_14),AlexAcc (alex_action_15),AlexAcc (alex_action_16),AlexAcc (alex_action_17),AlexAcc (alex_action_18),AlexAcc (alex_action_19),AlexAcc (alex_action_20),AlexAcc (alex_action_21),AlexAcc (alex_action_22),AlexAcc (alex_action_23),AlexAcc (alex_action_24),AlexAcc (alex_action_25),AlexAcc (alex_action_26),AlexAcc (alex_action_27),AlexAcc (alex_action_28),AlexAcc (alex_action_29),AlexAcc (alex_action_29),AlexAcc (alex_action_30),AlexAcc (alex_action_30),AlexAcc (alex_action_31),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_32),AlexAcc (alex_action_33),AlexAcc (alex_action_34),AlexAcc (alex_action_35),AlexAccPred  (alex_action_36) (alexRightContext 57)(AlexAccNone),AlexAccPred  (alex_action_36) (alexRightContext 57)(AlexAccNone),AlexAcc (alex_action_37),AlexAcc (alex_action_38),AlexAcc (alex_action_39),AlexAcc (alex_action_40),AlexAcc (alex_action_41),AlexAcc (alex_action_42),AlexAcc (alex_action_43),AlexAcc (alex_action_44),AlexAcc (alex_action_45),AlexAcc (alex_action_46),AlexAcc (alex_action_47),AlexAcc (alex_action_48),AlexAcc (alex_action_49),AlexAcc (alex_action_50),AlexAcc (alex_action_51),AlexAcc (alex_action_52),AlexAcc (alex_action_53),AlexAcc (alex_action_54),AlexAcc (alex_action_55),AlexAcc (alex_action_56),AlexAcc (alex_action_57),AlexAcc (alex_action_58),AlexAcc (alex_action_59),AlexAcc (alex_action_60),AlexAcc (alex_action_61),AlexAcc (alex_action_62),AlexAcc (alex_action_63),AlexAcc (alex_action_64),AlexAcc (alex_action_65),AlexAcc (alex_action_66),AlexAcc (alex_action_67),AlexAcc (alex_action_68),AlexAcc (alex_action_69),AlexAcc (alex_action_70),AlexAcc (alex_action_71)]+{-# LINE 94 "Jukebox/TPTP/Lexer.x" #-}++data Pos = Pos {-# UNPACK #-} !Word {-# UNPACK #-} !Word deriving Show+data Token = Atom { keyword :: !Keyword, name :: !BS.ByteString }+           | Defined { defined :: !Defined  }+           | Var { name :: !BS.ByteString }+           | DistinctObject { name :: !BS.ByteString }+           | Number { value :: !Integer }+           | Punct { kind :: !Punct }+           | Eof+           | Error++data Keyword = Normal+             | Thf | Tff | Fof | Cnf+             | Axiom | Hypothesis | Definition | Assumption+             | Lemma | Theorem | Conjecture | NegatedConjecture | Question+             | Plain | FiDomain | FiHypothesis | FiPredicates | Type | Unknown+             | Include deriving (Eq, Ord)++instance Show Keyword where+  show x =+    case x of {+      Normal -> "normal";+      Thf -> "thf"; Tff -> "tff"; Fof -> "fof"; Cnf -> "cnf";+      Axiom -> "axiom"; Hypothesis -> "hypothesis"; Definition -> "definition";+      Assumption -> "assumption"; Lemma -> "lemma"; Theorem -> "theorem";+      Conjecture -> "conjecture"; NegatedConjecture -> "negated_conjecture";+      Question -> "question"; Plain -> "plain"; FiDomain -> "fi_domain";+      FiHypothesis -> "fi_hypothesis"; FiPredicates -> "fi_predicates";+      Type -> "type"; Unknown -> "unknown"; Include -> "include" }++-- We only include defined names that need special treatment from the+-- parser here: you can freely make up any other names starting with a+-- '$' and they get turned into Atoms.+data Defined = DTrue | DFalse | DEqual | DDistinct | DItef | DItet+             | DO | DI | DTType deriving (Eq, Ord)++instance Show Defined where+  show x =+    case x of {+      DTrue -> "$true"; DFalse -> "$false"; DEqual -> "$equal";+      DDistinct -> "$distinct"; DItef -> "$itef"; DItet -> "$itet";+      DO -> "$o"; DI -> "$i"; DTType -> "$tType" }++data Punct = LParen | RParen | LBrack | RBrack | Comma | Dot+           | Or | And | Not | Iff | Implies | Follows | Xor | Nor | Nand+           | Eq | Neq | ForAll | Exists | Let | LetTerm -- FOF+           | Colon | Times | Plus | FunArrow -- TFF+           | Lambda | Apply | ForAllLam | ExistsLam+           | DependentProduct | DependentSum | Some | The+           | Subtype | SequentArrow -- THF+             deriving (Eq, Ord)++instance Show Punct where+  show x =+    case x of {+      LParen -> "("; RParen -> ")"; LBrack -> "["; RBrack -> "]";+      Comma -> ","; Dot -> "."; Or -> "|"; And -> "&"; Not -> "~";+      Iff -> "<=>"; Implies -> "=>"; Follows -> "<="; Xor -> "<~>";+      Nor -> "~|"; Nand -> "~&"; Eq -> "="; Neq -> "!="; ForAll -> "!";+      Exists -> "?"; Let -> ":="; Colon -> ":"; Times -> "*"; Plus -> "+";+      FunArrow -> ">"; Lambda -> "^"; Apply -> "@"; ForAllLam -> "!!";+      ExistsLam -> "??"; Some -> "@+"; The -> "@-"; Subtype -> "<<";+      SequentArrow -> "-->"; DependentProduct -> "!>"; DependentSum -> "?*" }++p x = const (Punct x)+k x = Atom x . copy+d x = const (Defined x)++copy :: BS.ByteString -> BS.ByteString+copy = id -- could change to a string interning function later++unquote :: BS.ByteString -> BS.ByteString+unquote x =+  case BSL.toChunks (BSL.tail (unquote' x)) of+    [] -> BS.empty+    [x] -> copy x+    xs -> BS.concat xs++unquote' :: BS.ByteString -> BSL.ByteString+unquote' x | BS.null z = chunk (BS.init y) Empty+           | otherwise = chunk y (BS.index z 1 `BSL.cons'` unquote' (BS.drop 2 z))+           where (y, z) = BS.break (== '\\') x+    +readNumber :: BS.ByteString -> Integer+readNumber x | BS.null r = n+  where Just (n, r) = BS.readInteger x++-- The main scanner function, heavily modified from Alex's posn-bytestring wrapper.++data TokenStream = At {-# UNPACK #-} !Pos !Contents+data Contents = Cons !Token TokenStream++scan xs = go (Input (Pos 1 1) '\n' BS.empty xs)+  where go inp@(Input pos _ x xs) =+          case alexScan inp 0 of+                AlexEOF -> let t = At pos (Cons Eof t) in t+                AlexError _ -> let t = At pos (Cons Error t) in t+                AlexSkip  inp' len -> go inp'+                AlexToken inp' len act ->+                  let token | len <= BS.length x = BS.take len x+                            | otherwise = BS.concat (BSL.toChunks (BSL.take (fromIntegral len) (chunk x xs)))+                  in At pos (act token `Cons` go inp')++data AlexInput = Input {-# UNPACK #-} !Pos {-# UNPACK #-} !Char {-# UNPACK #-} !BS.ByteString BSL.ByteString++alexInputPrevChar :: AlexInput -> Char+alexInputPrevChar (Input p c x xs) = c++{-# INLINE alexGetByte #-}+alexGetByte :: AlexInput -> Maybe (Word8,AlexInput)+alexGetByte i = fmap f (alexGetChar i)+  where f (c, i') = (fromIntegral (ord c), i')+{-# INLINE alexGetChar #-}+alexGetChar :: AlexInput -> Maybe (Char,AlexInput)+alexGetChar (Input p _ x xs) | not (BS.null x) = getCharNonEmpty p x xs+alexGetChar (Input p _ _ (Chunk x xs)) = getCharNonEmpty p x xs+alexGetChar (Input p _ _ Empty) = Nothing+{-# INLINE getCharNonEmpty #-}+getCharNonEmpty p x xs =+  let !c = BS.head x+      !next = Input (advance p c) c (BS.tail x) xs+  in Just (c, next)++{-# INLINE advance #-}+advance :: Pos -> Char -> Pos+advance (Pos l c) '\t' = Pos  l    (c+8 - (c-1) `mod` 8)+advance (Pos l c) '\n' = Pos (l+1) 1+advance (Pos l c) _    = Pos  l    (c+1)++alex_action_3 =  k Thf +alex_action_4 =  k Tff +alex_action_5 =  k Fof +alex_action_6 =  k Cnf +alex_action_7 =  k Axiom +alex_action_8 =  k Hypothesis +alex_action_9 =  k Definition +alex_action_10 =  k Assumption +alex_action_11 =  k Lemma +alex_action_12 =  k Theorem +alex_action_13 =  k Conjecture +alex_action_14 =  k NegatedConjecture +alex_action_15 =  k Question +alex_action_16 =  k Plain +alex_action_17 =  k FiDomain +alex_action_18 =  k FiHypothesis +alex_action_19 =  k FiPredicates +alex_action_20 =  k Type +alex_action_21 =  k Unknown +alex_action_22 =  k Include +alex_action_23 =  d DTrue +alex_action_24 =  d DFalse +alex_action_25 =  d DEqual +alex_action_26 =  d DDistinct +alex_action_27 =  d DItef +alex_action_28 =  d DItet +alex_action_29 =  d DO +alex_action_30 =  d DI +alex_action_31 =  d DTType +alex_action_32 =  Atom Normal . copy +alex_action_33 =  Atom Normal . unquote +alex_action_34 =  Var . copy +alex_action_35 =  DistinctObject . unquote +alex_action_36 =  Number . readNumber +alex_action_37 =  p LParen +alex_action_38 =  p RParen +alex_action_39 =  p LBrack +alex_action_40 =  p RBrack +alex_action_41 =  p Comma +alex_action_42 =  p Dot +alex_action_43 =  p Or +alex_action_44 =  p And +alex_action_45 =  p Not +alex_action_46 =  p Iff +alex_action_47 =  p Implies +alex_action_48 =  p Follows +alex_action_49 =  p Xor +alex_action_50 =  p Nor +alex_action_51 =  p Nand +alex_action_52 =  p Eq +alex_action_53 =  p Neq +alex_action_54 =  p ForAll +alex_action_55 =  p Exists +alex_action_56 =  p Let +alex_action_57 =  p LetTerm +alex_action_58 =  p Colon +alex_action_59 =  p Times +alex_action_60 =  p Plus +alex_action_61 =  p FunArrow +alex_action_62 =  p Lambda +alex_action_63 =  p Apply +alex_action_64 =  p ForAllLam +alex_action_65 =  p ExistsLam +alex_action_66 =  p Some +alex_action_67 =  p The +alex_action_68 =  p Subtype +alex_action_69 =  p SequentArrow +alex_action_70 =  p DependentProduct +alex_action_71 =  p DependentSum +{-# LINE 1 "templates/GenericTemplate.hs" #-}+{-# LINE 1 "templates/GenericTemplate.hs" #-}+{-# LINE 1 "<built-in>" #-}+{-# LINE 1 "<command-line>" #-}+{-# LINE 8 "<command-line>" #-}+# 1 "/usr/include/stdc-predef.h" 1 3 4++# 17 "/usr/include/stdc-predef.h" 3 4+++++++++++++++++++++++++++++++++++++++++++{-# LINE 8 "<command-line>" #-}+{-# LINE 1 "templates/GenericTemplate.hs" #-}+-- -----------------------------------------------------------------------------+-- ALEX TEMPLATE+--+-- This code is in the PUBLIC DOMAIN; you may copy it freely and use+-- it for any purpose whatsoever.++-- -----------------------------------------------------------------------------+-- INTERNALS and main scanner engine++{-# LINE 21 "templates/GenericTemplate.hs" #-}++++++-- Do not remove this comment. Required to fix CPP parsing when using GCC and a clang-compiled alex.+#if __GLASGOW_HASKELL__ > 706+#define GTE(n,m) (tagToEnum# (n >=# m))+#define EQ(n,m) (tagToEnum# (n ==# m))+#else+#define GTE(n,m) (n >=# m)+#define EQ(n,m) (n ==# m)+#endif+{-# LINE 51 "templates/GenericTemplate.hs" #-}+++data AlexAddr = AlexA# Addr#+-- Do not remove this comment. Required to fix CPP parsing when using GCC and a clang-compiled alex.+#if __GLASGOW_HASKELL__ < 503+uncheckedShiftL# = shiftL#+#endif++{-# INLINE alexIndexInt16OffAddr #-}+alexIndexInt16OffAddr (AlexA# arr) off =+#ifdef WORDS_BIGENDIAN+  narrow16Int# i+  where+        i    = word2Int# ((high `uncheckedShiftL#` 8#) `or#` low)+        high = int2Word# (ord# (indexCharOffAddr# arr (off' +# 1#)))+        low  = int2Word# (ord# (indexCharOffAddr# arr off'))+        off' = off *# 2#+#else+  indexInt16OffAddr# arr off+#endif++++++{-# INLINE alexIndexInt32OffAddr #-}+alexIndexInt32OffAddr (AlexA# arr) off = +#ifdef WORDS_BIGENDIAN+  narrow32Int# i+  where+   i    = word2Int# ((b3 `uncheckedShiftL#` 24#) `or#`+		     (b2 `uncheckedShiftL#` 16#) `or#`+		     (b1 `uncheckedShiftL#` 8#) `or#` b0)+   b3   = int2Word# (ord# (indexCharOffAddr# arr (off' +# 3#)))+   b2   = int2Word# (ord# (indexCharOffAddr# arr (off' +# 2#)))+   b1   = int2Word# (ord# (indexCharOffAddr# arr (off' +# 1#)))+   b0   = int2Word# (ord# (indexCharOffAddr# arr off'))+   off' = off *# 4#+#else+  indexInt32OffAddr# arr off+#endif+++++++#if __GLASGOW_HASKELL__ < 503+quickIndex arr i = arr ! i+#else+-- GHC >= 503, unsafeAt is available from Data.Array.Base.+quickIndex = unsafeAt+#endif+++++-- -----------------------------------------------------------------------------+-- Main lexing routines++data AlexReturn a+  = AlexEOF+  | AlexError  !AlexInput+  | AlexSkip   !AlexInput !Int+  | AlexToken  !AlexInput !Int a++-- alexScan :: AlexInput -> StartCode -> AlexReturn a+alexScan input (I# (sc))+  = alexScanUser undefined input (I# (sc))++alexScanUser user input (I# (sc))+  = case alex_scan_tkn user input 0# input sc AlexNone of+	(AlexNone, input') ->+		case alexGetByte input of+			Nothing -> ++++				   AlexEOF+			Just _ ->++++				   AlexError input'++	(AlexLastSkip input'' len, _) ->++++		AlexSkip input'' len++	(AlexLastAcc k input''' len, _) ->++++		AlexToken input''' len k+++-- Push the input through the DFA, remembering the most recent accepting+-- state it encountered.++alex_scan_tkn user orig_input len input s last_acc =+  input `seq` -- strict in the input+  let +	new_acc = (check_accs (alex_accept `quickIndex` (I# (s))))+  in+  new_acc `seq`+  case alexGetByte input of+     Nothing -> (new_acc, input)+     Just (c, new_input) -> ++++      case fromIntegral c of { (I# (ord_c)) ->+        let+                base   = alexIndexInt32OffAddr alex_base s+                offset = (base +# ord_c)+                check  = alexIndexInt16OffAddr alex_check offset+		+                new_s = if GTE(offset,0#) && EQ(check,ord_c)+			  then alexIndexInt16OffAddr alex_table offset+			  else alexIndexInt16OffAddr alex_deflt s+	in+        case new_s of+	    -1# -> (new_acc, input)+		-- on an error, we want to keep the input *before* the+		-- character that failed, not after.+    	    _ -> alex_scan_tkn user orig_input (if c < 0x80 || c >= 0xC0 then (len +# 1#) else len)+                                                -- note that the length is increased ONLY if this is the 1st byte in a char encoding)+			new_input new_s new_acc+      }+  where+	check_accs (AlexAccNone) = last_acc+	check_accs (AlexAcc a  ) = AlexLastAcc a input (I# (len))+	check_accs (AlexAccSkip) = AlexLastSkip  input (I# (len))++	check_accs (AlexAccPred a predx rest)+	   | predx user orig_input (I# (len)) input+	   = AlexLastAcc a input (I# (len))+	   | otherwise+	   = check_accs rest+	check_accs (AlexAccSkipPred predx rest)+	   | predx user orig_input (I# (len)) input+	   = AlexLastSkip input (I# (len))+	   | otherwise+	   = check_accs rest+++data AlexLastAcc a+  = AlexNone+  | AlexLastAcc a !AlexInput !Int+  | AlexLastSkip  !AlexInput !Int++instance Functor AlexLastAcc where+    fmap f AlexNone = AlexNone+    fmap f (AlexLastAcc x y z) = AlexLastAcc (f x) y z+    fmap f (AlexLastSkip x y) = AlexLastSkip x y++data AlexAcc a user+  = AlexAccNone+  | AlexAcc a+  | AlexAccSkip++  | AlexAccPred a   (AlexAccPred user) (AlexAcc a user)+  | AlexAccSkipPred (AlexAccPred user) (AlexAcc a user)++type AlexAccPred user = user -> AlexInput -> Int -> AlexInput -> Bool++-- -----------------------------------------------------------------------------+-- Predicates on a rule++alexAndPred p1 p2 user in1 len in2+  = p1 user in1 len in2 && p2 user in1 len in2++--alexPrevCharIsPred :: Char -> AlexAccPred _ +alexPrevCharIs c _ input _ _ = c == alexInputPrevChar input++alexPrevCharMatches f _ input _ _ = f (alexInputPrevChar input)++--alexPrevCharIsOneOfPred :: Array Char Bool -> AlexAccPred _ +alexPrevCharIsOneOf arr _ input _ _ = arr ! alexInputPrevChar input++--alexRightContext :: Int -> AlexAccPred _+alexRightContext (I# (sc)) user _ _ input = +     case alex_scan_tkn user input 0# input sc AlexNone of+	  (AlexNone, _) -> False+	  _ -> True+	-- TODO: there's no need to find the longest+	-- match when checking the right context, just+	-- the first match will do.+++-- used by wrappers+iUnbox (I# (i)) = i
+ jukebox.cabal view
@@ -0,0 +1,64 @@+Name: jukebox+Version: 0.1+Cabal-version: >= 1.8+Build-type: Simple+Author: Nick Smallbone+Maintainer: nicsma@chalmers.se+Copyright: 2009-2014 Nick Smallbone, Koen Claessen, Ann Lillieström++Category:            Logic++Synopsis:            A first-order reasoning toolbox+Description:+  Jukebox is a suite of tools for transforming problems in first-order logic.+  It reads problems in TPTP (FOF and TFF) format.+  .+  Currently it can translate typed problems to untyped (by efficiently+  encoding types) and clausify problems (both typed and untyped).+License: BSD3+License-file: LICENSE++Library+  Build-depends: bytestring, base >= 4 && < 5, array, mtl, directory,+    filepath, pretty, hashable, minisat,+    binary, unordered-containers, process, containers+  Build-tools: alex+  Ghc-options: -funfolding-use-threshold=500+  Exposed-modules:+    Jukebox.Clausify+    Jukebox.Form+    Jukebox.GuessModel+    Jukebox.HighSat+    Jukebox.InferTypes+    Jukebox.Map+    Jukebox.Monotonox.Monotonicity+    Jukebox.Monotonox.ToFOF+    Jukebox.Name+    Jukebox.NameMap+    Jukebox.Options+    Jukebox.ProgressBar+    Jukebox.Provers.E+    Jukebox.Sat3+    Jukebox.SatEq+    Jukebox.Sat+    Jukebox.SatMin+    Jukebox.Seq+    Jukebox.Toolbox+    Jukebox.TPTP.ClauseParser+    Jukebox.TPTP.FindFile+    Jukebox.TPTP.Lexer+    Jukebox.TPTP.Parsec+    Jukebox.TPTP.ParseProblem+    Jukebox.TPTP.ParseSnippet+    Jukebox.TPTP.Print+    Jukebox.UnionFind+    Jukebox.Utils++Executable jukebox+  Main-is: Main.hs+  Build-depends: bytestring, base >= 4 && < 5, array, mtl, directory,+    filepath, pretty, hashable, minisat,+    binary, unordered-containers, process, containers,+    jukebox+  Build-tools: alex+  Ghc-options: -funfolding-use-threshold=500